Tangent Properties in Circles

A point B is 17cm away from the centre O of a circle. AB is the tangent to the circle at A. Given that AB = 15 cm, find the radius of the circle.

• 8 cm

• 9 cm

• 2 cm

• 16 cm

Find the length of LK

• 24

• 20.25

• 17.5

• 12.32

Using lines tangent to the circle, find the value of x.

• 57

• 137

• 47

• 257

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 16 in

• 8 in

• 11 in

• 6 in

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

Lines AO and BO are tangent. What is the measure of BO?

• 20

• 15

• 10

• 5

What can you conclude?

• AB and AC are not congruent.

• AB= half of AC

• AC = half of AB

• AB=AC

What is the value of x?

• 22

• 25

• 15

• 20

Find the value of X

• 3

• 16

• 8

• 12

Find the value of X

• 8.5

• 3.6

• 7.2

• 9.2