Foundation January 2021 Paper 2 Q22

22 \(A\), \(B\) and \(C\) are points on a circle with centre \(O\).

Diagram NOT accurately drawn

\(AOC\) is a diameter of the circle.

\(AB\) = 8 cm \(BC\) = 15 cm

Angle \(ABC = 90^\circ\)

Work out the total area of the regions shown shaded in the diagram.
Give your answer correct to 3 significant figures.

(5)

Mark scheme

Scheme	Marks
\(8^2 + 15^2\) (= 289)	M1
\(\sqrt{8^2 + 15^2}\) (=17)	M1
\(\pi \times \text{“}8.5\text{”}^2\) (226.98...) or 0.5 × 15 × 8 (= 60)	M1
\(\pi \times \text{“}8.5\text{”}^2 - 0.5 \times 15 \times 8\) ( “226.98” – “60”)	M1
167	A1
	(5)
	(5 marks)

A1: Accept answers which round to 167