honors geometry
posted by kourtney on .
A belt wrapped tightly around cicle O forms a 60 degree angle at P, a point outside the circle. Find the length of the belt if cicle O has a radius of 9.

That's kind of hard to imagine, but it seems to me you just plug 9 in into the formula... Please clarify if I'm wrong.

A belt wrapped tightly around cicle O forms a 60 degree angle at P, a point outside the cicle. Find the length of the belt if the cicle O has a radius of 9.
diagram looks like a cicle with two tangent lines joining at point P outside the cicle. looks like a ice cream cone.
need help 
Lines from the points of contact of a tangent to the center of the circle are at right angles to the tangent.
Draw triangles connecting a tangent point, P and the center of the circle. This will form two 306090 right triangles.
The angle subtended by the belt from the center of the circle is 120 degrees.
The length of the belt is (2/3)*pi*R
= 18.85