Higher January 2019 Paper 1R Q10

EdexcelHigherCurrent spec3 marksCircles & Sectors

10 The shape, shown shaded in the diagram, is the region between two semicircles.

Diagram NOT accurately drawn

The diameter of the outer semicircle is 12 cm.
The shape has constant thickness 2 cm.

Calculate the area of the shape.
Give your answer as a multiple of \(\pi\).

(3)

Mark scheme

Scheme	Marks
\(\pi \times \left(\dfrac{12}{2}\right)^2\) (=113….) or \(\pi \times \left(\dfrac{12}{2} - 2\right)^2\) (= 50.2…) or \(\pi \times \left(\dfrac{12}{2}\right)^2 \div 2\) (=56.5...) or \(\pi \times \left(\dfrac{12}{2} - 2\right)^2 \div 2\) (= 25.1…)	M1
eg \((\pi \times 6^2 - \pi \times 4^2) \div 2\) oe	M1
\(10\pi\)	A1
	(3)
	(3 marks)

M1: for a complete method