**Part 1**

1)

a) 9π cm^{2}

b) 27π cm^{2}

c) 75π cm^{2}

d) 24π cm^{2}

2) 8π cm^{2}

3) 36π cm^{2}

**Part 2**

1)

a) 42.8 cm^{2}

b) 59.9 cm^{2}

c) 104.6 cm^{2}

d) 110 cm^{2}

2) 30°

3) 240°

4) 72.4°

5) 31.1°

6) 7.9 cm

7) 3 cm

**Working**

**Questions**

**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. 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 1 decimal place.

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.