A tangent is drawn from P to a circle with centre O

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A tangent is drawn from P to a circle with centre O. It meets the circle at T. If PT = 19.8 and PM = 13.2, where M is the closest point on the circle to P, find the length of the radius.

 

[TchrWill]

Re: tangent

A tangent is drawn from P to a circle with centre O. It meets the circle at T. If PT = 19.8 and PM = 13.2, where M is the closest point on the circle to P, find the length of the radius

Since triangle PTO is a right triangle, r^2 + 19.8^2 = (13.2 + r)^2

Solve for r.

 

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Thanks so much! Worked it out.