Find the angle or radius from an arc length or sector area
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.C.B.5 · England: GCSE Higher Geometry
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Question 1
A sector has angle 40° and arc length 4π cm. Find the radius.
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Question 2
A sector of a circle with radius 5 cm has an arc length of 2.5π cm. Find the angle of the sector in degrees.
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Question 3
A sector of radius 2 cm has area 0.666667π cm². Find the angle of the sector in degrees.
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Question 4
A sector has angle 150° and arc length 5π cm. Find the radius.
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Question 5
A sector of a circle with radius 5 cm has an arc length of 7.5π cm. Find the angle of the sector in degrees.
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Question 6
A sector of radius 4 cm has area 12π cm². Find the angle of the sector in degrees.
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Question 7
A sector has angle 120° and arc length 6π cm. Find the radius.
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Question 8
A sector of a circle with radius 4 cm has an arc length of 3π cm. Find the angle of the sector in degrees.
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Question 9
A sector of radius 6 cm has area 18π cm². Find the angle of the sector in degrees.
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Question 10
A sector has angle 36° and arc length 1π cm. Find the radius.
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Question 11
A sector of a circle with radius 10 cm has an arc length of 5π cm. Find the angle of the sector in degrees.
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Question 12
A sector of radius 6 cm has area 15π cm². Find the angle of the sector in degrees.
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Question 13
A sector has angle 72° and arc length 8π cm. Find the radius.
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Question 14
A sector of a circle with radius 6 cm has an arc length of 8π cm. Find the angle of the sector in degrees.
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Question 15
A sector of radius 12 cm has area 12π cm². Find the angle of the sector in degrees.
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Question 16
A sector has angle 72° and arc length 2π cm. Find the radius.
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