Tangents on a Circle

A line  that intersects a circle at exactly one point is a ____________.

• tangent

• secant

• chord

• radius

Name a tangent.

• Segment XC

• Segment LM

• Segment HJ

• LINE BD

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

TKXM and SNXL are two tangents to one of the circles in the diagram. JKL is a straight line. Given that \angle TKJ\ =\ 54\degree and \angle NJK\ =\ 40\degree , calculate \angle LMN

Find the value of x.