Geometry
posted by Anonymous .
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 
Steve
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
Respond to this Question
Similar Questions

physics
An object, after being released from its circular path, travels the distance OA in the same time it would have moved from O to P on the circle. The speed of the object on and off the circle remains constant at the same value. Suppose … 
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. 
calculus
a circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. the curve traced by a point on the circumfarence of the smaller circle is callled an epicycloid. use the angle theta to find a set of parametric … 
calculus
a circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. the curve traced by a point on the circumfarence of the smaller circle is callled an epicycloid. use the angle theta to find a set of parametric … 
math
We have a circle that has 270 degrees listed outside the circle at the top left. Inside the circle at the bottom right side is a an angle inside the circle with a P. Find the measure of Angle P. Would this be that we take 360270 to … 
honors geometry
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. 
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. 
apex geometry
Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? 
Maths
Find the length of an arc of a circle of radius 5.6cm which subtends an angle of 60°at the centre of the circle of the circle take pie 22 divided by 7