Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The vertices of square $ABCD$ are positioned on the circle’s circumference, and the circle has radius 8 cm. The diagram presents square $ABCD$ drawn inside the circle. The shaded part is the segment lying above side $AD$.
(a)[2]

Calculate the area of the square.

(b(i))[3]

Calculate the area of the shaded segment.

(b(ii))[4]

Calculate the perimeter of the shaded segment.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: The area is $128$.

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