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Area of Circles, Algebra - creating and manipulating expressions
Key Stage: 4 ★

The shape shown is a Salinon, which consists of four semi-circles. What is the relationship between the area of this shape and the area of the circle with diameter AB?

The solution uses the formula for the area of a circle and gives practice in geometrical reasoning and manipulating algebraic expressions.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.


The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Creative Commons "Sharealike"

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