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 3 cm and angle π/2. Find its exact area in terms of π.
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Question 2
An arc of length 10 cm lies on a circle of radius 4 cm. Find the angle it makes at the centre, in radians.
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Question 3
A sector has radius 10 cm and angle 2.3 radians. Find its arc length.
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Question 4
A sector has radius 5 cm and angle π/2. Find its exact area in terms of π.
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Question 5
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 6
A sector has radius 6 cm and angle 0.6 radians. Find its arc length.
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Question 7
A sector has radius 7 cm and angle π/4. Find its exact area in terms of π.
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Question 8
An arc of length 23.1 cm lies on a circle of radius 11 cm. Find the angle it makes at the centre, in radians.
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Question 9
A sector has radius 2 cm and angle 0.4 radians. Find its area.
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Question 10
A sector has radius 10 cm and angle 3π/4. Find its exact area in terms of π.
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Question 11
An arc of length 6.6 cm lies on a circle of radius 6 cm. Find the angle it makes at the centre, in radians.
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Question 12
A sector has radius 9 cm and angle 0.5 radians. Find its area.
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Question 13
A sector has radius 9 cm and angle 2π/3. Find its exact area in terms of π.
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Question 14
An arc of length 7.5 cm lies on a circle of radius 5 cm. Find the angle it makes at the centre, in radians.
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Question 15
A sector has radius 10 cm and angle 1.6 radians. Find its arc length.
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Question 16
A sector has radius 10 cm and angle π/3. Find its exact area in terms of π.
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