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The distance from the centre of a circle to a point P outside the circle is 12 mm. The length of the tangent segment from P to the circle is 9 mm. Determine the radius of the circle.

The distance from the centre of a circle to a point P outside the circle is 12 mm-example-1

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This is a right angled triangle;

Using pythagoras theorem, we have;


\begin{gathered} r=√(12^2-9^2) \\ r=3√(7)=7.94mm \end{gathered}

Thus, the radius is 7.94mm

The distance from the centre of a circle to a point P outside the circle is 12 mm-example-1
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User Mukesh Yadav
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