Answer:
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.
