SOLUTION: find the measure of diameter of circle if froma point outside the circle,, a tangent segment measures 24 meters and a secant segment through the center of circle measures 36 meters

Question 190348: find the measure of diameter of circle if froma point outside the circle,, a tangent segment measures 24 meters and a secant segment through the center of circle measures 36 meters
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

By definition of tangency, the line segment that connects the center of the circle with the point of tangency is at right angles to the tangent line.

That means that the tangent segment, the secant segment, and the radius segment form a right triangle with hypotenuse of 36 meters and one side 24 meters.

Use Pythagoras' Theorem. You'll need to double your answer because you are looking for the radius.

John

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