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Back to AQA Circles, Sectors & Arcs (F) Home
​​​​​Circles, Sectors & Arcs: Quiz 4

Part 1

Do not use a calculator for the following questions.

 

1) Work out the area of the following sectors. Give your answers in exact form (i.e. in terms of π).

Picture
Picture

2) We have a semi-circle with a radius of 4 cm. What is the area of the semi-circle in terms of π. Feel free to draw a sketch to help you understand what is happening.

 

3) We have a sector that is a quarter of a circle. The sector has a radius of 12 cm. What is the area of the sector? Give your answer in terms of π.


Part 2

You may use a calculator for the questions in this part.

 

1) Work out the area of the following sectors. Give your answers to 3 significant figures.  

Picture
Picture

2) A sector has an area of 3π cm2 and a radius of 6. What is the angle of the sector?

 

3) A sector has a radius of 12 cm and an area of 96π cm2. What is angle of the sector.

 

4) A sector has an area of 34π cm2 and a radius of 13 cm. What is the angle of the sector? Give your answer to 3 significant figures.

 

5) A sector has an area of 7π cm2 and a radius of 9 cm. What is the angle of the sector? Give your answer to 3 significant figures.

 

6) A sector has an area of 43 cm2 and an angle of 78°. What is the length of the radius? Give your answer to 2 significant figures.

 

7) A sector has an area of 12.7 cm2 and an angle of 159°. What is the length of the radius? Give your answer to 2 significant figures.

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