The tangent from point T touches a circle at R.If the radius of the circle i 3cm and T is 5cm from the center of the circle.Calculate/TR/.

Answer 1

Draw a diagram for a geometry problem, and half of the time the solution will be right in front of your eyes.

Let the circle C with radius r has a centre O and the external point R is distance d away from O.

Draw a tangent from R to circle C and tangent at T.

Join OT.

By definition of a tangent, angle OTR is a right angle.

OT is known (r)
OR is known (d)

We need to calculate the distance TR, which is the remaining side of the right triangle OTR.

Bet you can take it from here.