A point P is 13cm from the centre of the circle. the lenght of the tangent drawn from P to the circle is 12cm find the radius of the circle

The radius of the circle is 5 cm

Step-by-step explanation:

The given parameters are;

The distance of the point P from the center of the circle = 13 cm

The length of the tangent from the point P to the circle = 12 cm

The circle diagram is created with Microsoft Visio, from which we have;

The line drawn from the center to the point P, the tangent line from P to the circle and the radius of the circle form a right triangle

The length of the radius of the circle, r, is given by Pythagoras theorem as, follows;

r = √((13 cm)² - (12 cm)²) = 5  cm

Therefore, the radius of the circle = r = 5 cm.