IB Maths AI SL 3.7 - Conversions between Degrees and Radians Notes

IB Maths AI SL 3.7 Notes – Conversions between Degrees and Radians

This IB Maths AI SL 3.7 resource introduces conversions between degrees and radians and is fully aligned with the IB Applications and Interpretation SL syllabus.

Students learn how radians measure angles by comparing the arc length of a circle to its radius, developing an understanding of why 180 degrees = pi radians and how a full rotation corresponds to 2pi radians. The notes explain how to convert between degrees and radians using standard conversion formulas and emphasize keeping answers in exact form using pi where appropriate.

The resource also introduces key circle formulas that require angles to be expressed in radians, including the arc length formula and the sector area formula. Students learn when these formulas apply and why radians are required for these relationships to work correctly.

Structured practice problems guide students through converting between degrees and radians, calculating arc lengths, and determining sector areas in both abstract and geometric contexts. These exercises help reinforce the connection between angle measure and circular geometry.

Ideal for IB Maths AI SL teachers introducing radians, angle conversions, and applications of arc length and sector area in circular geometry.

These notes pair great with our slidedeck!

Updated 15/04/2026