Properties of Tangents to a Circle

• 54

• 90

• 306

• 126

is tangent to both circles. What is the measure of angle NQP?

• 180

• 90

• 45

• 360

AD is tangent and AC is a diameter. Find the measure of arc AB.

• 36

• 90

• 72

• 54

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 circle with centre O. Find the value of y.

• 111

• 69

• 55.5

• 21

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.

• 75

• 72

• 36

• 18

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

• 50

• 70

• 110

• 120

In the diagram, LMN is a tangent of the circle at point M. Choose the correct statements below. You can choose more than one answer.

Identify the straight lines that are tangents to the circle in the diagram. You can choose more than one answer.

• AB

• RS

• KJ

• LM

• TU

Determine the value of x in the diagram.

*eg: 70