honors geometry
posted by kourtney .
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
Respond to this Question
Similar Questions

geometry
Three circles are externally tangent to one another. The radius of each of the circles is 2 cm. A belt fits tightly around the three circles. Find the length of the belt. Express your answer in terms of pi with an explanation. 
Math
Circle C has radius 4 inches. Circle D had radius 9 inches. These two circles are connected. Point A,B,and E are points of tangency. Find AB. From point C to point D(which is the radius of circle C plus the raduis of circle D) it is … 
geometry
If you have a circle in a square and r is the radius of the cicle and x is the measurement outside the square what would the formula be to find the area of the whole square using x and r? 
geometry
by what factor must the radius of a circle be multiplied to make the area of the cicle 3 times as large? 
please help geometry
you need to find the length of a broken automitive belt. the belt ran around 2 pulleys whose centers were 11 in apart. one of the pulleys is 4" dia. and the other is 6" dia. what is the totoal length of the belt needed to connect thr … 
Geometry
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. 
Geometry
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. 
Geometry
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. 
physics
The flywheel of a motor is connected to the flywheel of an electric generator by a drive belt. The flywheels are of equal size each of radius . While the flywheels are rotating the tension in the upper and lower portions of the drive … 
Math
A belt fits tightly around two pulleys of radii 4 cm and 6 cm respectively and the distance between their centers is 20 cm. Find the length of the belt. I know the answer is 71.62cm from the answer key but I need to know the process …