Common Core HSG.SRT.D.9 worksheet
High school · 16 questions · Common Core: HSG.SRT.D.9, HSG.C.B.5 · England: GCSE Higher Geometry, A-level Pure Mathematics
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Question 1
A triangle has sides 5 cm and 8 cm with an acute angle θ between them. Its area is 11.2 cm². Find θ to 1 decimal place.
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Question 2
A triangle has area 14.1 cm², one side of 6 cm and an included angle of 28°. Find the other side next to that angle, to the nearest cm.
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Question 3
Two sides of a triangle are 18 cm and 14 cm with an angle of 122° between them. Find the area to 1 decimal place.
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Question 4
A chord cuts off a minor segment of a circle of radius 15 cm. The chord subtends 135° 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 11 cm has angle 2.3 radians at the centre. Find its area to 2 decimal places.
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Question 6
A triangle has sides 7 cm and 13 cm with an acute angle θ between them. Its area is 38.6 cm². Find θ to 1 decimal place.
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Question 7
A triangle has area 63.6 cm², one side of 7 cm and an included angle of 107°. Find the other side next to that angle, to the nearest cm.
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Question 8
Two sides of a triangle are 10 cm and 20 cm with an angle of 149° between them. Find the area to 1 decimal place.
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Question 9
A chord cuts off a minor segment of a circle of radius 14 cm. The chord subtends 150° at the centre. Find the area of the segment to 1 decimal place.
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Question 10
A segment of a circle of radius 3 cm has angle 1.5 radians at the centre. Find its area to 2 decimal places.
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Question 11
A triangle has sides 9 cm and 14 cm with an acute angle θ between them. Its area is 60.6 cm². Find θ to 1 decimal place.
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Question 12
A triangle has area 37.5 cm², one side of 16 cm and an included angle of 42°. Find the other side next to that angle, to the nearest cm.
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Question 13
Two sides of a triangle are 18 cm and 13 cm with an angle of 133° between them. Find the area to 1 decimal place.
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Question 14
A chord cuts off a minor segment of a circle of radius 10 cm. The chord subtends 40° 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 11 cm has angle 0.6 radians at the centre. Find its area to 2 decimal places.
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Question 16
A triangle has sides 8 cm and 17 cm with an acute angle θ between them. Its area is 26.6 cm². Find θ to 1 decimal place.
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