Higher January 2021 Paper 2R Q2

EdexcelHigherCurrent spec3 marks2D Area & Perimeter Circles & Sectors

2 The diagram shows a rectangle \(ABCD\) and a semicircle with diameter \(AB\) where \(AB = 12\) cm. The point \(E\) lies on \(DC\) and also on the semicircle.

Rectangle ABCD with a semicircle on AB = 12 cm touching DC at E; the region inside the rectangle but outside the semicircle is shaded

Diagram NOT accurately drawn

Work out the area of the shaded region.
Give your answer correct to 3 significant figures.

(3)

Mark scheme

Scheme	Marks
\(0.5 \times \pi \times 6^2\;(= 56.54\ldots)\) or 12 × 6 (= 72) or \(\pi \times 6^2\) oe	M1
“72” – “56.54…”	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 15.5	A1
	(3)
	(3 marks)

Notes

M1: dep M1 for a complete method

A1: 15.4 to 15.5