Common Core HSG.C.B.5 worksheet
High school · 16 questions · Common Core: HSG.C.B.5, HSG.SRT.D.9 · England: GCSE Foundation Geometry, GCSE Higher Geometry, A-level Pure Mathematics
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Question 1
An arc of length 11 cm lies on a circle of radius 10 cm. Find the angle it makes at the centre, in radians.
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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 11 cm has angle 1.6 radians at the centre. Find its area to 2 decimal places.
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Question 4
A sector of radius 10 cm has area 50π cm². Find the angle of the sector in degrees.
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Question 5
A sector has radius 6 cm and angle 45°. Find the arc length in cm, rounded to 1 decimal place.
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Question 6
Find the area of a sector with radius 7 cm and angle 40°. Round to 1 decimal place.
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Question 7
A sector has radius 7 cm and angle π/2. Find its exact area in terms of π.
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Question 8
A sector of a circle with radius 12 cm has an arc length of 9π cm. Find the angle of the sector in degrees.
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Question 9
Find the perimeter of a sector with radius 3 cm and angle 135°. Give your answer to 1 decimal place.
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Question 10
A sector has angle 30° and arc length 3π cm. Find the radius.
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Question 11
A slice of pizza is a sector with radius 18 cm and angle 30°. Its exact perimeter is a + bπ cm. Type the perimeter in that form.
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Question 12
A sector has radius 14 cm and angle 1.2 radians. Find its arc length.
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Question 13
An arc of length 19 cm lies on a circle of radius 10 cm. Find the angle it makes at the centre, in radians.
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Question 14
A chord cuts off a minor segment of a circle of radius 11 cm. The chord subtends 70° 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 6 cm has angle 1.2 radians at the centre. Find its area to 2 decimal places.
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Question 16
A sector of radius 12 cm has area 60π cm². Find the angle of the sector in degrees.
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