Higher June 2022 Paper 2R Q13

EdexcelHigherCurrent spec3 marksCircles & Sectors

13 The diagram shows a sector \(AOB\) of a circle with centre \(O\)

Diagram NOT accurately drawn

Angle \(AOB = 67^\circ\)
\(OA = OB = 5.2\) cm

Calculate the perimeter of the sector.
Give your answer correct to 3 significant figures.

(3)

Mark scheme

Scheme	Marks
eg \(2 \times \pi \times 5.2\;\left(= 32.6\ldots\text{ or }\dfrac{52}{5}\pi\right)\) oe \(\dfrac{67}{360} \times 2 \times \pi \times 5.2\;\left(= 6.08\ldots\text{ or }\dfrac{871}{450}\pi\right)\) oe	M1
\(\dfrac{67}{360} \times 2 \times \pi \times 5.2 + 2 \times 5.2\) oe	M1
16.5	A1
	(3)
	(3 marks)

M1: for finding the whole circumference or the arc length

M1: for a complete method

A1: accept 16.4 – 16.5
(not in terms of \(\pi\))