4400 Higher November 2006 Paper 4 Q17

EdexcelHigherOld spec3 marksCircles & Sectors

Sector of a circle with centre C, radius 8.2 cm and angle 67 degrees

Diagram NOT accurately drawn

The diagram shows a sector of a circle, centre \(C\).
The radius of the circle is 8.2 cm.
The angle at the centre of the circle is 67°.
Calculate the area of the sector.
Give your answer correct to 3 significant figures.

(3)

Mark scheme

Scheme	Marks
(\(\dfrac{67}{360}\) or 0.186...) × ...	M1
\(\dfrac{67}{360} \times \pi \times 8.2^2\)	M1
39.3	A1
	(3)
	(3 marks)

Notes

M1: or ... ÷ (\(\frac{360}{67}\) or 5.37...)

M1: or \(\pi \times 8.2^2 \div \frac{360}{67}\)

A1: for 39.2 − 39.32