Common Core HSG.C.A.4 worksheet
High school · 16 questions · Common Core: HSG.C.A.2, HSG.C.A.4 · England: GCSE Higher Geometry
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Question 1
A tangent from P touches a circle with centre O at T. The radius is 14 cm and OP = 50 cm. Find the length PT.
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Question 2
Two tangents are drawn from point P to a circle, touching it at A and B. PA = (3x + 20) cm and PB = (5x + 6) cm. Find x.
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Question 3
PA and PB are tangents from P to a circle with centre O, touching it at A and B. ∠APB = 122°. Find ∠AOB.
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Question 4
A tangent from P touches a circle with centre O at T. The radius is 5 cm and OP = 13 cm. Find the length PT.
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Question 5
Two tangents are drawn from point P to a circle, touching it at A and B. PA = (2x + 21) cm and PB = (6x + 13) cm. Find x.
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Question 6
PA and PB are tangents from P to a circle with centre O, touching it at A and B. ∠APB = 113°. Find ∠AOB.
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Question 7
A tangent from P touches a circle with centre O at T. The radius is 10 cm and OP = 26 cm. Find the length PT.
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Question 8
Two tangents are drawn from point P to a circle, touching it at A and B. PA = (3x + 32) cm and PB = (7x + 4) cm. Find x.
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Question 9
PA and PB are tangents from P to a circle with centre O, touching it at A and B. ∠APB = 98°. Find ∠AOB.
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Question 10
A tangent from P touches a circle with centre O at T. The radius is 14 cm and OP = 50 cm. Find the length PT.
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Question 11
Two tangents are drawn from point P to a circle, touching it at A and B. PA = (4x + 30) cm and PB = (7x + 3) cm. Find x.
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Question 12
PA and PB are tangents from P to a circle with centre O, touching it at A and B. ∠APB = 90°. Find ∠AOB.
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Question 13
A tangent from P touches a circle with centre O at T. The radius is 16 cm and OP = 34 cm. Find the length PT.
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Question 14
Two tangents are drawn from point P to a circle, touching it at A and B. PA = (5x + 18) cm and PB = (7x + 2) cm. Find x.
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Question 15
PA and PB are tangents from P to a circle with centre O, touching it at A and B. ∠APB = 131°. Find ∠AOB.
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Question 16
A tangent from P touches a circle with centre O at T. The radius is 3 cm and OP = 5 cm. Find the length PT.
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