Arc length and sector area in radians
11th grade (Year 12 in England) · 16 questions · Common Core: HSG.C.B.5 · England: A-level Pure Mathematics
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Question 1
A sector has radius 10 cm and angle π/3. Find its exact area in terms of π.
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Question 2
A sector has radius 14 cm and angle 0.5 radians. Find its arc length.
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Question 3
An arc of length 7 cm lies on a circle of radius 10 cm. Find the angle it makes at the centre, in radians.
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Question 4
A sector has radius 2 cm and angle π/6. Find its exact area in terms of π.
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Question 5
A sector has radius 3 cm and angle 1.6 radians. Find its area.
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Question 6
An arc of length 19.8 cm lies on a circle of radius 9 cm. Find the angle it makes at the centre, in radians.
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Question 7
A sector has radius 2 cm and angle π/4. Find its exact area in terms of π.
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Question 8
A sector has radius 13 cm and angle 1.7 radians. Find its area.
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Question 9
An arc of length 11.4 cm lies on a circle of radius 6 cm. Find the angle it makes at the centre, in radians.
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Question 10
A sector has radius 2 cm and angle 3π/4. Find its exact area in terms of π.
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Question 11
A sector has radius 3 cm and angle 0.5 radians. Find its area.
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Question 12
An arc of length 2.5 cm lies on a circle of radius 5 cm. Find the angle it makes at the centre, in radians.
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Question 13
A sector has radius 11 cm and angle π/3. Find its exact area in terms of π.
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Question 14
A sector has radius 15 cm and angle 1.6 radians. Find its arc length.
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Question 15
An arc of length 6.3 cm lies on a circle of radius 3 cm. Find the angle it makes at the centre, in radians.
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Question 16
A sector has radius 8 cm and angle π/6. Find its exact area in terms of π.
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