Theorems on Tangents to Circle Properties

In the diagram, PTR and QTS are straight lines. Find the value of x.

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• 48

Tags

CCSS.7.G.B.5

The diagram shows a circle with centre O. Find the value of x.

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CCSS.HSG.C.A.2

The diagram shows a semicircle with centre O. Find the value of x.

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Tags

CCSS.HSG.C.A.2

The diagram shows a circle with centre O. The minor arc PQ and the minor arc RS are of equal length. Find the value of x.

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Tags

CCSS.HSG.C.B.5

In the diagram, RST is a straight line. Find the value of x + y.

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• 210

Tags

CCSS.HSG.C.A.2

In the diagram, PQ and QR are tangents to a circle at P and R respectively. Which of the following statements is correct?

The diagram shows a semicircle with centre O. Find the value of x.

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• 28

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• 68

Tags

CCSS.HSG.C.A.2

The diagram shows a circle with centre O. Find the value of y.

• 111

• 69

• 55.5

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Tags

CCSS.HSG.C.A.2

In the diagram, RTS is a tangent to a circle at point T and the arc length of minor sector OQP is 1/5 of the circumference of the circle with centre O. Find the value of x.

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Tags

CCSS.HSG.C.A.2

In the diagram, KLMN is a tangent to a circle MTR. RSM is a straight line. Find the value x.

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Tags

CCSS.HSG.C.A.2