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Circles, Sectors & Arcs: Quiz 6 - Answers
Circles, Sectors & Arcs: Quiz 6 - Answers
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.
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, 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.