Find the area of a circular segment
11th grade (Year 12 in England) · 16 questions · Common Core: HSG.C.B.5, HSG.SRT.D.9 · England: GCSE Higher Geometry, A-level Pure Mathematics
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Question 1
A segment of a circle of radius 7 cm has angle 0.5 radians at the centre. Find its area to 2 decimal places.
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Question 2
A chord cuts off a minor segment of a circle of radius 11 cm. The chord subtends 135° at the centre. Find the area of the segment to 1 decimal place.
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Question 3
A segment of a circle of radius 9 cm has angle 2 radians at the centre. Find its area to 2 decimal places.
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Question 4
A chord cuts off a minor segment of a circle of radius 8 cm. The chord subtends 150° at the centre. Find the area of the segment to 1 decimal place.
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Question 5
A segment of a circle of radius 7 cm has angle 0.5 radians at the centre. Find its area to 2 decimal places.
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Question 6
A chord cuts off a minor segment of a circle of radius 13 cm. The chord subtends 100° at the centre. Find the area of the segment to 1 decimal place.
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Question 7
A segment of a circle of radius 6 cm has angle 1.3 radians at the centre. Find its area to 2 decimal places.
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Question 8
A chord cuts off a minor segment of a circle of radius 4 cm. The chord subtends 40° at the centre. Find the area of the segment to 1 decimal place.
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Question 9
A segment of a circle of radius 10 cm has angle 2.5 radians at the centre. Find its area to 2 decimal places.
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Question 10
A chord cuts off a minor segment of a circle of radius 12 cm. The chord subtends 80° at the centre. Find the area of the segment to 1 decimal place.
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Question 11
A segment of a circle of radius 11 cm has angle 0.6 radians at the centre. Find its area to 2 decimal places.
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Question 12
A chord cuts off a minor segment of a circle of radius 12 cm. The chord subtends 50° at the centre. Find the area of the segment to 1 decimal place.
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Question 13
A segment of a circle of radius 12 cm has angle 0.6 radians at the centre. Find its area to 2 decimal places.
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Question 14
A chord cuts off a minor segment of a circle of radius 4 cm. The chord subtends 100° at the centre. Find the area of the segment to 1 decimal place.
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Question 15
A segment of a circle of radius 8 cm has angle 0.9 radians at the centre. Find its area to 2 decimal places.
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Question 16
A chord cuts off a minor segment of a circle of radius 3 cm. The chord subtends 80° at the centre. Find the area of the segment to 1 decimal place.
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