Mathematics 0580 · IGCSE · Compound shapes and parts of shapes

Compound shapes and parts of shapes — practice question

The diagram represents a figure formed by a quarter-circle, OAB, together with a right-angled triangle OBC. The diagram is marked NOT TO SCALE. The circle has radius 5 cm and $OC = 6$ cm.
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Calculate the area of the shape.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Working shown: $\frac{1}{4}\pi\times5^{2}+\frac{1}{2}\times5\times6$

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