Secants and Tangents in Circles

Find the value of x.

• 12.5

• 8

• 35

• 16

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 90

Solve for x.

• 29

• 33

• 41.5

• 50

Find the measure of the missing arc.

• 70°

• 100.5°

• 201°

• 140°

What can you conclude from the picture?

• m is parallel to circle C

• m is skew to circle C

• m bisects circle C

• m is tangent to circle C

The length of the tangents that can drawn to a circle of 7 cm radius from external point which is 25 cm away from the center

• 32 cm

• 25 cm

• 24 cm

• 18 cm

In the figure,PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120⁰ then ∠APB =

• 60⁰

• 30⁰

• 120⁰

• 75⁰

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠APB = 48⁰ then ∠AOP =

• 68⁰

• 66⁰

• 56⁰

• 76⁰

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠AOP = 45⁰ then ∠APB =

• 65⁰

• 135⁰

• 90⁰

• 22.5⁰