 * GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Approximation and Estimation Questions [Upper and Lower Bound]  * Learner will be able to say authoritatively that:  I can solve any given Rounding Questions: Estimate numbers using rounding, decimal places and significant figures. …To estimate means to make a rough guess or calculation. To round means to simplify a known number by scaling it slightly up or down. Rounding is a type of estimating. Both methods can help you make educated approximations and can be used in everyday life for tasks related to money, time or distance.  While accurate estimates are the basis of sound project planning, there are many techniques used as project management best practices in estimation as - Analogous estimation, Parametric estimation, Delphi method, 3 Point Estimate, Expert Judgement, Published Data Estimates, Vendor Bid Analysis, Reserve Analysis, Bottom  I understand and can apply Upper and Lower Bound concepts in all fields of studies:  Upper and lower bounds are useful to find best case running time and worst case running time of an algorithm. In general lower bound means the best case running time and upper bound means the worst case running time… N.B- For complete lecture on Approximation and Estimation, click the link this: https://youtu.be/z6GKSUYDYoY For more Maths, AddMaths, ICT, Robotic and Coding, click any of the links below: https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/c/SayoEnochAluko/videos

Do you know? Bearings along with distances have been used for navigation, surveying and localization in single robot applications. In real-world applications, the prerequisite of autonomous motion requires the robots to acquire precise location information using the concepts of bearing and distances Ball bearings are used in refrigerators, air conditioning units, ovens, dishwashers, generators, washing and drying machines, microwaves, blenders, ceiling fans, vacuum cleaners, food processors, and even in kitchen or bathroom drawers.… Complete video for teachers and learners on bearing and distances, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any GCSE/IGCSE Maths 0580 bearing and distances Exam’s Style Questions Learner will be able to say authoritatively that I can:  Complete questions on how to read bearing coordinates  Complete questions on how to calculate coordinate using distance and bearing  Complete questions on how do find distance with bearing  Complete any given bearing and distances question  Apply the knowledge of bearing and distances in real life https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.youtube.com/c/SayoEnochAluko/videos https://www.amazon.com/Sayo-Enoch-Aluko/e/B092ZZD72B%3Fref #students #teachers #robots #bearings #gcses #igcse #ai #psat #ibdp #robotics #engineeringdesign #globaleducation #mathematics #automation #spacecraft #appliedmathematics #exampreparation #examsuccess #elearning #virtualeducation #backtoschool #secondaryeducation

Game Development: Have you ever wanted to make your own game? Chances are that if you do then you’ll need to know at least some trigonometry. It’s used in many aspects of game development. Whether you want to design a character, make them move or design the environment they will move in, you’ll need to learn trigonometry. Other applications include: Architecture and Engineering, Music Theory and Production, Electrical Engineers and Manufacturing Industry, Sounds and Light Waves, Oceanography, Creation of maps. For instance, Astronomers use trigonometry to calculate how far stars and planets are from Earth. Trigonometry technique is also used by NASA scientists today when they design and launch space shuttles and rockets.  * GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any International Exam Style Graphing Trigonometry Function Questions  * Learner will be able to say authoritatively that:  I can complete any question on how to determine the parameter for a given graph of a trigonometric function  Sketch or complete the graph for any given sine function  Sketch or complete the graph for any given cosine function  Sketch or complete the graph for any given tangent function  Understand the real-life applications of graph of a trigonometric function https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos https://scratch.mit.edu/users/alukosayoenoch/ #teachers #students #education #eLearning

The Revised Syllabus for Examination 2022-2024 Cambridge Assessment International Education Practice Questions Cambridge IGCSE Mathematics 0580 To accompany the revised syllabus for examination from 2022_2024 Questions Featured in this Video:- Geometry and Measure-3D, Volume, Surface Area, Density Vectors: Position Vectors, Vectors Geometry, Route Inspection Three Dimensional Problems: Orthogonal Projection, Elevation and Depression, Trigonometry Algebra: Geometrical Word Problem The Author decided to feature the remaining topics below in a separate video IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part1 https://youtu.be/HJj5UvpksoU IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part2 https://youtu.be/cfAGHNSX2XE Tree Diagram [Click the link: https://youtu.be/s4SJCC94H3c] Applications of Differentiation [Click the link: https://youtu.be/f6n4YeDI4pc] Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4] Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c] Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc] Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y] To access more Maths, ICT and videos on Robotic and Coding: [Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos] For Free Resources: Videos, Board Works and Code Script/Blocks: [Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch] #mathematics #education #students #edtech #schools #igcse #stem #teaching #elearning #teachers #college #backtoschool #virtualclassrooms #educative #algebra #video #workshop #highereducation

The Revised Syllabus for Examination 2022-2024 Cambridge Assessment International Education Practice Questions Cambridge IGCSE Mathematics 0580 To accompany the revised syllabus for examination from 2022_2024 Questions Featured in this Video:- Trigonometry Graph Probability: Tree Diagram to complete questions involving Bayes Theorem, Conditional Probability and Contingency Table Applications of Differentiation Cumulative Frequency Curve Functions The Author decided to feature the remaining topics below in a separate video IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part1 https://youtu.be/HJj5UvpksoU IGCSE Maths 0580 Practice Questions 2020 2022 Revised Syllabus Part2 https://youtu.be/cfAGHNSX2XE Tree Diagram [Click the link: https://youtu.be/s4SJCC94H3c] Applications of Differentiation [Click the link: https://youtu.be/f6n4YeDI4pc] Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4] Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c] Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc] Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y] To access more Maths, ICT and videos on Robotic and Coding: [Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos] For Free Resources: Videos, Board Works and Code Script/Blocks: [Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch] #mathematics #education #students #edtech #schools #igcse #stem #teaching #elearning #teachers #college #backtoschool #virtualclassrooms #educative #algebra #video #workshop #highereducation

Do you know? Logarithms used in computer imaging align pixels, organize colors and help computers manipulate photographs for enhancement, merging or comparison. After the creation of a digital image, the photographed information converts into small sections of color called pixels. Career fields where logarithms are used include construction and planning, energy, engineering, environmental services, finance, health and safety, manufacturing, medical and pharmaceutical research, packaging, production, research and development, shipping and transportation, supply and wholesale, technology and … Just as with exponential functions, there are many real-world applications for logarithmic functions: intensity of sound, pH levels of solutions, yields of chemical reactions, production of goods, and growth of infants. Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment, population growth, and carbon dating. Complete video for teachers and learners on Logarithmic and Exponential Functions, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Logarithmic and Exponential Functions Exam’s Style Questions Learner will be able to say authoritatively that, I can: Solve any given question on Logarithmic and Exponential Functions Solve any questions on Applications of Logarithmic and Exponential Functions Solve any given question on Inverse of Logarithmic and Exponential Functions. Solve any given question on graph of Inverse of Logarithmic and Exponential Functions. https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos #teachers #students #education #elearning

Do you know? Exponents, Index Numbers, Powers, and Indices are used in lots of parts of our modern technological world. Exponents are used in Computer Game Physics, pH and Richter Measuring Scales, Science, Engineering, Economics, Accounting, Finance, and many other disciplines. Exponential Growth … Surds are used in real life to make sure that important calculations are precise, for example by engineers building bridges. Complete video for teachers and learners on Indices and Surds, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Indices and Surds Exam’s Style Questions Learner will be able to say authoritatively that I can: Simplify expressions involving Indices Solve equations involving Indices and Surds Complete any task on multiplication, division and simplification of Surd Complete any task on rationalising the denominator of a fraction https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos #teachers #students #education #elearning

Do you know? Kinematics is used in astrophysics to describe the motion of celestial bodies and systems; and in mechanical engineering, robotics and biomechanics to describe the motion of systems composed of joined parts (such as an engine, a robotic arm, or the skeleton of the human body). Motion of wheel, gears, motors, etc is rotational motion. Motion of the blades of the helicopter is also rotatory motion. Doors, swiveling on its hinges as you open or close it. A spinning top, motion of a Ferris wheel in an amusement park Understanding the kinematics of human movement is of both a basic and an applied value in medicine and biology. Kinematic knowledge is also essential for proper diagnosis and surgical treatment of joint disease and the design of prosthetic devices to restore function. Complete video for teachers and learners on Kinematics, GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Kinematics Exam’s Style Questions Learner will be able to say authoritatively that: I can solve any given question on Applications of Differentiation in Kinematics I can solve any questions on Applications of Integration in Kinematics I can solve any given question on Kinematics generally. https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B https://studio.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos

Do you know? Sequence models are the machine learning models that input or output sequences of data. Sequential data includes text streams, audio clips, video clips, time-series data and etc. Recurrent Neural Networks (RNNs) is a popular algorithm used in sequence models. Applications of Sequence Models Sequences are the main logical structure of algorithms or programs. When creating algorithms or programs, the instructions are presented in a specific correct order. A sequence can contain any number of instructions but each instruction must be run in the order they are presented. For example, the interest portions of monthly payments made to pay off an automobile or home loan, and the list of maximum daily temperatures in one area for a month are sequences. Electronic and Electrical Engineers use the Fourier series to represent the properties of electrical signals Presentation – Complete video and Board Work for teachers and learners on Series: GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Series Exam’s Style Questions Learner will be able to say authoritatively that:  I can solve any given question on Convergent Geometric Progression  I can solve any questions on Infinite Geometric Series  I can solve any given question on Arithmetic and Geometric Progression https://www.amazon.com/~/e/B092ZZD72B https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos

Do you know? Meteorologist uses Vectors to map out Weather Patterns…. Vectors are primarily used within the programming context of most programming languages and serve as data structure containers. Being a data structure, vectors are used for storing objects and collections of objects in an organized structure. Vectors can be used in softball to measure hits as well as pitches. When a ball is hit to the outfield, it has direction, speed, and distance. The speed and direction of pitches can also be measured using vectors. Presentation – Complete video and Board Work for teachers and learners on Vectors  * GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Exam Style Vectors Questions  * Learner will be able to say authoritatively that:  I can solve any given question on Vectors Geometry  I can solve any questions involving applications of Vectors properties  I can solve any given question on Position Vectors  I can solve any questions involving Relative Velocity. https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B #students #teachers #elearning #igcse #education

Do you know? Meteorologist uses Vectors to map out Weather Patterns…. Vectors are primarily used within the programming context of most programming languages and serve as data structure containers. Being a data structure, vectors are used for storing objects and collections of objects in an organized structure. Vectors can be used in softball to measure hits as well as pitches. When a ball is hit to the outfield, it has direction, speed, and distance. The speed and direction of pitches can also be measured using vectors. Presentation – Complete video and Board Work for teachers and learners on Vectors  * GCSE, IGCSE, AP, IB-HL Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Add Maths 0606 Exam Style Vectors Questions  * Learner will be able to say authoritatively that:  I can solve any given question on Vectors Geometry  I can solve any questions involving applications of Vectors properties  I can solve any given question on Position Vectors  I can solve any questions involving Relative Velocity. https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos https://www.tes.com/teaching-resources/shop/alukosayoenoch https://www.amazon.com/~/e/B092ZZD72B

Cambridge Assessment International Education Practice Questions Cambridge IGCSE Mathematics 0580 To accompany the revised syllabus for examination from 2020_2022 Questions Featured in this Video:- Simultaneous equations Graphs of functions Derivatives The Author decided to feature the remaining topics below in a separate video Congruence [Click the link: https://youtu.be/KTfZw7Vvlrc] Alternate segment theorem [Click the link: https://youtu.be/4fOdgqJfqmo] Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4] Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c] Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc] Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y] To access more Maths, ICT and videos on Robotic and Coding: [Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos] For Free Resources: Videos, Board Works and Code Script/Blocks: [Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch]

Cambridge Assessment International Education Practice Questions Cambridge IGCSE Mathematics 0580 To accompany the revised syllabus for examination from 2020_2022 Questions Featured in this Video:- Simultaneous equations Graphs of functions Derivatives The Author decided to feature the remaining topics below in a separate video Congruence [Click the link: https://youtu.be/KTfZw7Vvlrc] Alternate segment theorem [Click the link: https://youtu.be/4fOdgqJfqmo] Sketch graphs of trigonometric functions [Click the link: https://youtu.be/2nV0ftvVhP4] Conditional probability [Click the link: https://youtu.be/s4SJCC94H3c] Stem-and-leaf diagrams [Click the link: https://youtu.be/fuIh_ZM8Otc] Box-and-whisker plots [Click the link: https://youtu.be/t3B2MKRXB8Y] To access more Maths, ICT and videos on Robotic and Coding: [Click the link: https://www.youtube.com/channel/UCzF5saLKU8CxfOqnY-TvHmA/videos] For Free Resources: Videos, Board Works and Code Script/Blocks: [Click the link: https://www.tes.com/teaching-resources/shop/alukosayoenoch]

GCSE-Advance Level, IB-HL, HSC,H1/H2/H3-Level - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Probability and Statistics Questions  * Presentation – Complete video for teachers and learners on Probability and Statistics  * AL-GCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Advanced Level Exam Style Probability and Statistics Questions  * Learner will be able to say authoritatively that I can complete any S1 problems on: Histograms and Cumulative Frequency, Averages, Measures of Dispersion, Box and Whisker Diagrams, Probability, Linear Regression, Skewness, Product Moment Correlation Coefficient, Discrete Random Variables, Expectation and Variance, Discrete Uniform Distribution, Normal Distribution, Binomial Distribution, Poisson Distribution, Continuous Random Variables, Uniform Distribution, Normal Approximations, Sampling, Hypothesis Testing, One and Two Tailed Tests, Random Samples, Estimators, Central Limit Theorem, Confidence Intervals, Geometric Distribution, The Exponential Distribution, Bayes Theorem and Permutations and Combinations. Do you know? Probability plays a vital role in the day to day life. In the weather forecast, sports and gaming strategies, buying or selling insurance, online shopping, and online games, determining blood groups, and analyzing political strategies Similarly, Statistics is the mathematical science involving the collection, analysis and interpretation of data? It plays a crucial role in every field of human activity. They are numerically expressed facts to represent and speculate the samples using logical reasoning. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest. Statistics are used behind all the medical study. Statistic help doctors keep track of where the baby should be in his/her mental development. Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results

GCSE-Advance Level, IB-HL, HSC,H1/H2/H3-Level - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Probability and Statistics Questions  * Presentation – Complete video for teachers and learners on Probability and Statistics  * AL-GCSE Practice Revision Exercise which covers all the related concepts required for students to unravel any Advanced Level Exam Style Probability and Statistics Questions  * Learner will be able to say authoritatively that I can complete any S1 problems on: Histograms and Cumulative Frequency, Averages, Measures of Dispersion, Box and Whisker Diagrams, Probability, Linear Regression, Skewness, Product Moment Correlation Coefficient, Discrete Random Variables, Expectation and Variance, Discrete Uniform Distribution, Normal Distribution, Binomial Distribution, Poisson Distribution, Continuous Random Variables, Uniform Distribution, Normal Approximations, Sampling, Hypothesis Testing, One and Two Tailed Tests, Random Samples, Estimators, Central Limit Theorem, Confidence Intervals, Geometric Distribution, The Exponential Distribution, Bayes Theorem and Permutations and Combinations. Do you know? Probability plays a vital role in the day to day life. In the weather forecast, sports and gaming strategies, buying or selling insurance, online shopping, and online games, determining blood groups, and analyzing political strategies Similarly, Statistics is the mathematical science involving the collection, analysis and interpretation of data? It plays a crucial role in every field of human activity. They are numerically expressed facts to represent and speculate the samples using logical reasoning. Statistics is a varied subject, and there are many other uses of it in different fields related to daily human activities. Few other examples are weather forecasting; communicate information, data analysis, etc. If you are a statistics student, then you can decide your field you want to opt for according to your interest. Statistics are used behind all the medical study. Statistic help doctors keep track of where the baby should be in his/her mental development. Almost all fields of science such as biology, chemistry, physics, etc., use statistical methods for experimenting and analyzing their results

Do you know? Functions are everywhere where technology is, literally. But since the world is now crazy about machine learning, let me mention this one: machine learning is all about learning a function. For instance: mapping images to the names of the people on the images, mapping digital songs to authors/genres/song name, mapping MRI scan data to medical diagnoses, mapping Question’s answers to subjects/categories, mapping internet clicks to advert suggestions. Consequently, machine learning is now used also to find better representation of the input itself (this is called representation learning).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Function Questions  * Learner will be able to say authoritatively that I can complete:  Any Function question on:  Mappings  Functions Definition  Composite and Inverse Function  Modulus functions  Graph of Function and its Inverse  Application of functions to real life situations

Do you know? Functions are everywhere where technology is, literally. But since the world is now crazy about machine learning, let me mention this one: machine learning is all about learning a function. For instance: mapping images to the names of the people on the images, mapping digital songs to authors/genres/song name, mapping MRI scan data to medical diagnoses, mapping Question’s answers to subjects/categories, mapping internet clicks to advert suggestions. Consequently, machine learning is now used also to find better representation of the input itself (this is called representation learning).  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Function Questions  * Learner will be able to say authoritatively that I can complete:  Any Function question on:  Mappings  Functions Definition  Composite and Inverse Function  Modulus functions  Graph of Function and its Inverse  Application of functions to real life situations.

Do you know? The random generation and distribution of IP addresses to an ever-increasing number of electronic devices, which are now expanding exponentially in the past decade such as the Internet of Things (IoT), can be easily done using the power of binomial theorem. Not only that, but you can also automate it to compute its own time and cost to complete a pending project. This method is called variable subnetting; other applications of the binomial theorems includes: Economy, Higher mathematics, Forecast services, Ranking, Internet protocol (IP), Architecture, Finance, Population estimation, Probability Presentation – Complete video for teachers and learners on Binomial Theorem. GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Binomial Theorem Question Learner will be able to say authoritatively that I can: Use the binomial theorem for expansion of (a+b)^n for positive integral n. Use the general term to complete questions involving the term independent of any given variable for a binomial expansion I can apply binomial expansion to real life situations.

Do you know? The random generation and distribution of IP addresses to an ever-increasing number of electronic devices, which are now expanding exponentially in the past decade such as the Internet of Things (IoT), can be easily done using the power of binomial theorem. Not only that, but you can also automate it to compute its own time and cost to complete a pending project. This method is called variable subnetting; other applications of the binomial theorems includes: Economy, Higher mathematics, Forecast services, Ranking, Internet protocol (IP), Architecture, Finance, Population estimation, Probability Presentation – Complete video for teachers and learners on Binomial Theorem. GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Binomial Theorem Question Learner will be able to say authoritatively that I can: Use the binomial theorem for expansion of (a+b)^n for positive integral n. Use the general term to complete questions involving the term independent of any given variable for a binomial expansion I can apply binomial expansion to real life situations.

 Do you know? A traditional industrial application of Circular Measure includes robots with limited mobility. Architects often use the circle’s symmetrical properties when designing athletic tracks, recreational parks, buildings, roundabouts, Ferris-wheels, etc. Artists and painters find the circle almost indispensable in their work. Circular cylinders are used to print newspapers. Engineers exploit the circle’s symmetrical properties as seen by the use of the circle in making watches, clocks, bicycles, cars, trains, ships, airplanes, radios, telephones, trolleys, wheel-barrows, air-conditioners, rockets etc. Civilization has progressed dramatically because of the invention of the circular wheel…  * Presentation – Complete video for teachers and learners on Circular Measure.  * GCSE, IGCSE, AP, PSAT, and IB - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Circular Measure Questions  * Learner will be able to say authoritatively that I can complete:  Any circular measure question.  Any circular measure question involving length of an arc, length of chord and other circle properties.  Any circular measure question involving area, perimeter and other derived quantities.