SOLUTION: calculate the area of the shaded region enclosed by three identical circles tangent to each other. The radius of the circles is 5 inches

Question 1199144: calculate the area of the shaded region enclosed by three identical circles tangent to each other. The radius of the circles is 5 inches
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
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The centers of the circles form an equilateral triangle with the side a = 5+5 = 10 inches.


The area of this triangle is  A =  = .


Each circular sector of interest has the area of    of the area of the circle of radius 10 inches.


So we need to subtract   =  from A:


    the area of interest is   -   (exact formula).


Substitute the numbers and calculate using your calculator.

Solved.

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