Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The figure depicts a square ABCD with side length k cm. MDE is a sector of a circle, centre D. E lies on the diagonal BD of the square. M is the midpoint of AD. NOT TO SCALE.
(main)[4]

Find the percentage of the square that is shaded.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct expression using sector subtraction, for example $100\times\left(k^{2}-\frac{45}{360}\pi\left(\frac{k}{2}\right)^{2}\right)\div k^{2}$.

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