SOLUTION: Three circles of diameter 10 cm each touch each other and are bounded together by a rubber band. What is the length of the rubber band if it is stretched completely?

Question 1095764: Three circles of diameter 10 cm each touch each other and are bounded together by a rubber band. What is the length of the rubber band if it is stretched completely?
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
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Obviously, their centers (in the section) form equilateral triangle with the side length of 10 cm.


So, add 10 + 10 + 10 = 30 centimeters for linear elements first. 

Then add to it three times the length of the arc of the circle of the radius 5 cm and the central angle of 120 degrees.


So, the final answer is   =  centimeters.

If you need a diagram, take three quarters, put them on the table and bound them together by a rubber band.

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