Posted by **kourtney** on Tuesday, May 10, 2011 at 12:38am.

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.

- honors geometry -
**Smith**, Tuesday, May 10, 2011 at 12:58am
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.

- honors geometry -
**kourtney**, Tuesday, May 10, 2011 at 1:03am
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

- honors geometry -
**drwls**, Tuesday, May 10, 2011 at 1:20am
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 30-60-90 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

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