1)

a) 15.24 cm

b) 48.71 cm

c) 23.07 cm

d) 62.77 cm

e) 74.29 cm

2)

a) 15.24 cm

b) 48.71 cm

c) 23.07 cm

d) 62.77 cm

e) 74.29 cm

2)

c) 8.46 cm

d) 11.2 cm

d) 11.2 cm

f) 45°

g) 279°

g) 279°

**Working**

**Questions**

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

1) What is the perimeter of the following sectors. Give you answer to 2 decimal places.

2)

a) Write down the formula for working out the perimeter of a sector. Let P be the perimeter,

b) Make

c) A sector had a perimeter of 28 cm and an angle of 75°. What is the radius of the sector? Give your answer to 3 significant figures.

d) A second sector has a perimeter of 89 cm and an angle of 342°. What is the radius of the sector? Give your answer to 3 significant figures.

e) Starting with your formula from part a, make θ the subject of the formula.

f) A sector has a perimeter of 39 cm and a radius of 14 cm. What is the angle in the sector? Give your answer to the nearest degree.

g) A sector has a perimeter of 103 cm and a radius of 15 cm. What is the angle in the sector? Give your answer to the nearest degree.

a) Write down the formula for working out the perimeter of a sector. Let P be the perimeter,

*r*be the radius and θ be the angle of the sector.b) Make

*r*the subject of the formula.c) A sector had a perimeter of 28 cm and an angle of 75°. What is the radius of the sector? Give your answer to 3 significant figures.

d) A second sector has a perimeter of 89 cm and an angle of 342°. What is the radius of the sector? Give your answer to 3 significant figures.

e) Starting with your formula from part a, make θ the subject of the formula.

f) A sector has a perimeter of 39 cm and a radius of 14 cm. What is the angle in the sector? Give your answer to the nearest degree.

g) A sector has a perimeter of 103 cm and a radius of 15 cm. What is the angle in the sector? Give your answer to the nearest degree.