Sector, segment and arc - Higher only test questions - WJEC - GCSE Maths Revision

1

What is the name of the part of a circle between a chord and an arc?

Segment

Sector

Radius

2

What is the length of this arc? Give your answer to the nearest whole number.

A sector with an angle of 150° and a radius of 55 mm.

72 mm

144 mm

3,960 mm

3

What is the length of this arc? Give your answer correct to one decimal place.

A sector with a radius of 15 cm. The angle outside the sector is 60°.

15.7 cm

39.3 cm

78.5 cm

4

What is the perimeter of this sector? Give your answer to two decimal places.

A sector with a radius of 60 mm and arc length 146.5 mm.

527,400 mm

266.5 mm

206.5 mm

5

What is the perimeter of this shape? Give your answer to one decimal place.

A sector with an angle of 135° and a radius of 24 cm.

56.5 cm

102.5 cm

104.5 cm

6

What is the area of the sector? Give your answer to one decimal place.

3,959.7 mm²

72.0 mm²

144.0 mm²

7

What is the area of the shaded sector? Give your answer to one decimal place.

589.0 cm²

117.8 cm²

2,356.2 cm²

8

What is the area of the outer section of the shape? Give your answer to two decimal places.

A sector with an angle of 95°. The whole sector has a radius of 10 cm. The unshaded section of the sector has a radius of 6 cm.

82.90 cm²

53.05 cm²

29.85 cm²

9

What is the area of the shaded segment? Give your answer to two decimal places.

A sector with an angle of 52° and a radius of 10 cm. The segment is highlighted.

45.4 cm²

41.4 cm²

5.98 cm²

10

The diagram shows an equilateral triangle. P is the midpoint of AB and Q is the midpoint of AC. Find the area of the smaller region, giving your answer to one decimal place.

An equilateral triangle ABC where P is the midpoint of AB and Q is the midpoint of AC. Each side is 6 cm.

9.9 cm²

10.9 cm²

13.8 cm²