Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The figure has two sectors of circles that share the same centre. The angle is $45^{\circ}$. The inner radius is 3 cm and the outer radius is 5 cm. The shaded part lies between the two sectors. NOT TO SCALE.
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Calculate the area of the shaded region.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The two sector-area expressions are $\frac{45}{360}\pi5^2$ and $\frac{45}{360}\pi3^2$.

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