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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

Two crescents and a triangle

This resource contains a diagram made from a circle, four semi-circular arcs and a rectangle with dimensions given in surd form. The challenge is to find the total area of a given shaded area.

The student worksheets each contain different dimensions for the diagram, but the solutions all have something in common.

The solution involves using the area of a circle and Pythagoras’ theorem. As an extension, students can be shown that Pythagoras’ theorem can be used with other similar shapes other than squares.

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