Question

a belt is wrapped tightly around circle O and forms a right angle at P, outside the circle. find the length of the belt if circle O has a radius of 8.

Answer 1

If the belt is tangent to the circle at Q, PQ = 8 and the angle QOP = π/4

So, the belt's length is

3π/2 * 8 + 2*8 = 12π+16