MCQ Questions

Question No. 1

Calculate the circumference of the following circles.

Answer :

a) radius = 4.2 cm

b) radius = 12.3 cm

c) diameter = 8.9 cm

d) diameter = 24.3 cm

Question No. 2

Calculate the radius of the circle when the circumference is:

Answer :

a) 18 cm

b) 49 cm

c) 67 cm

d) 55 mm

Question No. 3

Calculate the length of the minor arc in the circle with:

Answer :

a) r = 5 cm and θ = 67°

b) r = 15 cm and θ = 79°

c) d = 12 cm and θ = 102°

d) d = 26 cm and θ = 58°

Question No. 4

Calculate the radius of the circle for the angle at the centre and the arc length PQ that are given.

Answer :

a) PQ = 12 cm and θ = 32°

b) PQ = 8 cm and θ = 67°

c) PQ = 9.2 cm and θ = 88°

d) PQ = 12.3 cm and θ = 95°

Question No. 5

Calculate the size of the angle, α, when the radius and arc length of a circle are given.

Answer :

a) r = 25 cm and arc length = 16 cm

b) r = 8.4 cm and arc length = 21 cm

c) r = 5.1 cm and arc length = 7.5 cm

d) r = 6.3 cm and arc length = 2.9 cm

Question No. 6

Calculate the length of the major arc for the circles in question 5.

Answer :

Question No. 7

Calculate the radius of the sector of a circle with:

Answer :

a) length of sector 52 mm and angle at centre 83°

b) length of sector 73 mm and angle at centre 108°

c) length of sector 121 mm and angle at centre 147°

d) length of sector 69.3 mm and angle at centre 68°

Question No. 8

The wheel of a bicycle has a radius of 30 cm. Calculate how far a cyclist has travelled after the wheel has rotated 50 times.

Answer :

Question No. 9

A garden is made up of a rectangular patch of ground and a semicircular flower bed at one end of the rectangle. If the length is 15 m and the width is 6 m, calculate the perimeter of the garden.

Answer :

Question No. 10

Calculate the perimeter of the sector in the circle with radius 7 cm and angle 60°.

Answer :

Question No. 11

Calculate the perimeter of the semi‐circle with diameter 6 cm.

Answer :

Question No. 12

Calculate the perimeter of the shapes below.

Answer :

Question No. 13

Calculate the area of the sector in a circle with:

Answer :

a) radius 4 cm and angle between the radii 79°

b) radius 15 cm and angle between the radii 92°

c) diameter 24 cm and angle between the radii 63.2°

d) diameter 16.8 cm and angle between the radii 143.6°

Question No. 14

Calculate the area of △ABC in the triangles below.

Answer :

a) 30° , sides 6.9 cm and 10.4 cm

b) 50° , side 7 and accompanying sides as shown

Question No. 15

Calculate the area of the minor segments of a circle with radius 20 mm and the angles at the centre given below.

Answer :

a) 113°

b) 137°

c) 99°

d) 165°

Question No. 16

Calculate the area of the major segments of the circle for the angles given in question 4.

Answer :

a) 113°

b) 137°

c) 99°

d) 165°

Question No. 17

Calculate the area of the minor segments of circles with:

Answer :

a) radius 20 cm and angle at centre 148°

b) radius 25.8 cm and angle at centre 93°

c) diameter 78 cm and angle at centre 63.2°

d) diameter 60.8 cm and angle at centre 105.2°

Question No. 18

The semicircle below consists of three equal sectors. If the radius of the circle is 90 mm, calculate the area of each sector.

Answer :

Question No. 19

Calculate the area of the shapes below.

Answer :

a)

b)

c)

d)

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