Higher January 2022 Paper 1R Q11

EdexcelHigherCurrent spec2 marksCircles & Sectors

11 The diagram shows sector \(OPQ\) of a circle, centre \(O\)

Diagram NOT accurately drawn

\(OP = OQ = 7.1\) cm
Angle \(POQ = 110^\circ\)

Calculate the area of sector \(OPQ\)
Give your answer correct to one decimal place.

(2)

Mark scheme

Scheme	Marks
\(\dfrac{110}{360} \times \pi \times 7.1^2\) oe or \(\dfrac{110}{360} \times 3.14\ldots \times 7.1^2\) oe	M1
48.4	A1
	(2)
	(2 marks)

M1: for a complete method to find the area

A1: accept 48.3 – 49.2