Cambridge International Mathematics

204 Mensuration (length and area) (Chapter 9)

7 Find, in terms of¼:

a the length of arc AB

b the perimeter of sector OAB

c the area of sector OAB.

8aFind the circumference of a circle of radius 13 : 4 cm.

b Find the length of an arc of a circle of radius 8 cm and angle 120 o:

c Find the perimeter of a sector of a circle of radius 9 cm and sector angle 80 o.

9 Find the perimeter and area of the following shapes:

abc

de f

gh i

10 Find the radius of a trundle wheel with circumference 1 m.

11 A lasso is made from a rope that is 10 m long. The loop of

the lasso has a radius of 0 : 6 m when circular. Find the length

of the rope that is not part of the loop.

12 A circular golfing green has a diameter of 20 m. The pin

must be positioned on the green at least 3 metres from its

edge. Find the area of the green on which the pin is allowed

to be positioned.

30°

8cm

O

A

B

100 m

80 m

5cm

6cm 6cm

5 squares

4cm

10 cm

5cm 3cm

100 m

50 m

10 cm 10 cm

loop

20 m

10 cm

4cm

IGCSE01

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Y:\HAESE\IGCSE01\IG01_09\204IGCSE01_09.CDR Wednesday, 24 September 2008 4:56:49 PM PETER