Circle geometry test questions

1

Calculate the size of the minor arc from the diagram.

Give your answer correct to 2 decimal places.

Quarter of a circle sector with a radius of 4cm

2

Calculate the size of the minor arc from the diagram.

Give your answer correct to 2 decimal places.

Circle sector with a 120° angle and 3cm radius

3

Calculate the area of the shaded sector shown in the diagram below.

Give your answer correct to the nearest whole number.

Circle sector with an 80° angle and 5cm radius

4

PQ is an arc of length 210 mm in a circle with centre C and radius 200 mm.

Calculate the size of ∠PCQ, to the nearest degree.

Circle sector with a radius of 200 and arc of 210

5

ACB is a sector of a circle with centre C and radius 1.6 m.

If the area of the shaded sector is 1.57 m2, then calculate the size of ∠ACB, to the nearest degree.

Diagram of a circle sector with value 1.6