Question

Find the radius of a circle if a tangent segment to the circle is 12 cm long and the endpoint of the tangent segment is located at a distance 13 units from the center of the circle

Answer 1

(See attached graphic)
13^3 = 12^2 + radius^2
radius^2 = 13^2 - 12^2
radius^2 = 169 -144
radius^2 = 25
radius = 5