Source: Complete International Mathematics For Cambridge IGCSE - David Rayner, Jim Fenson
ON = 6 cm, OM = 3 cm, OL = 2 cm, OK = 6 cm. |   |
2. In the diagram, the arc length is l and the sector area is A.
a) Find θ, when r = 5 cm and l = 7.5 cmb) Find θ, when r = 2 cm and A = 2 sq cm
c) Find r, when θ = 55° and l = 6 cm
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3. A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.
Calculate:
a) the angle through which the wheel turns in 1 second
b) the distance moved by a point on the rim in 2 seconds.
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| b) |  |
4. The length of an arc of a circle is 7.5cm.
The corresponding sector area is 37.5 sq cm. Find:
a) the radius of the circle
b) the angle subtended at the center of the circle by the arc.
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| b) |  |
5.The diagram consists of a quarter circle with center A and a triangle.
The pink shaded area is 200 sq cm. Find the radius r  |
6. Find the shaded area of the circle when:
a) r = 6 cm, θ =70°b) r = 14 cm, θ = 104°
c) r = 5 cm, θ = 80°
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| b) |  |
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7. How far is a chord of length 8 cm from the center of a circle radius 5cm.
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8. The diagram shows the cross-section of a cylindrical pipe with water
lying in the bottom.
a) If the maximum depth of the water is 2cm and the radius of the pipe is 7cm,find the area shaded.
b) What is the volume of water in a length of 30 cm?
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| b) |  |
9. A regular hexagon is circumscribed by a circle of radius 6 cm.
Find the area shaded.  |   |
10. Find the radius of the circle
a) when θ = 90°, A = 20 sq cm
b) when θ = 30°, A = 35 sq cm
c) when θ = 150°, A = 114 sq cm
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| b) |  |
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