# 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.

1. 👍 0
2. 👎 0
3. 👁 112
1. 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.

1. 👍 0
2. 👎 0
posted by Smith
2. 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

1. 👍 0
2. 👎 0
3. 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

1. 👍 0
2. 👎 0
posted by drwls

## Similar Questions

1. ### 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.

asked by Anonymous on May 1, 2013
2. ### 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.

asked by Anonymous on May 1, 2013
3. ### 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.

asked by Anonymous on May 1, 2013
4. ### 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

asked by Wilmer on November 4, 2016
5. ### Geometry

A conveyor belt carries supplies from the first floor to the second floor which is 30ft higher. The belt makes a 60 degree angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other to the

asked by Loren on May 25, 2018
6. ### Math

A conveyor belt carries supplies from the first floor to the second floor which is 30ft higher. The belt makes a 60 degree angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other to the

asked by Jessica on May 25, 2018
7. ### 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.

asked by Brittany on April 25, 2010
8. ### Geometry

Please explain how I am supposed to get this I really don't understand, but I think that I know the answer. Thanks! 1. A conveyor belt carries supplies from the first floor to the second floor which is 12 feet higher. The belt

asked by Blair on March 14, 2016
9. ### Math

Martin is painting his house and needs to reach a point 9 feet above the ground. He places a 10.5-foot-long ladder against the house so that it forms an angle of with the ground. a. Describe the triangle that is formed by the

asked by Tigerlilly on May 29, 2013
10. ### pre calc

A ship is tied to two anchors on the shoreline. The anchor line on the left forms a 46 degree angle with the shoreline and is 350 feet long. The anchor line on the right forms a 63 degree angle with theshoreline and is 283 feet

asked by sydney on March 26, 2017

More Similar Questions