**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).

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.

2) A sector has an area of 3π cm^{2} 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 cm^{2}. What is angle of the sector.

4) A sector has an area of 34π cm^{2} 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 cm^{2} 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 cm^{2} 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 cm^{2} and an angle of 159°. What is the length of the radius? Give your answer to 2 significant figures.