4400 Higher June 2009 Paper 4 Q5

EdexcelHigherOld spec6 marks2D Area & Perimeter Circles & Sectors

(a) Calculate the circumference of a circle of radius 40 m.
Give your answer correct to 3 significant figures. (2)

(b)

Shaded rectangle 10 cm by 8 cm with an unshaded circle of radius 3 cm inside it

Diagram NOT accurately drawn

The diagram shows a circle inside a rectangle.
The rectangle has length 10 cm and width 8 cm.
The radius of the circle is 3 cm.
Calculate the area of the shaded region.
Give your answer correct to 3 significant figures. (4)

Scheme	Marks
\(2 \times \pi \times 40\) oe	M1
251	A1
	(2)

Mark scheme (b)

Scheme	Marks
\(8 \times 10\) or 80	M1
\(\pi \times 3^2\) (awrt 28.2 or 28.3)	M1
“\(8 \times 10\)” − “\(\pi \times 3^2\)”	M1
51.7	A1
	(4)
	(6 marks)

Notes

M1: dep on both M1’s

A1: answer rounding to 51.7