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Circles, Sectors & Arcs: Quiz 6
Circles, Sectors & Arcs: Quiz 6
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.
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, 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 of 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 of 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 of 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 of the sector? Give your answer to the nearest degree.