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Three circles of radius 6 intersect eachother at their centers.  Find the area of their intersection.

 

 Jul 21, 2020
 #1
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Hint:  divide the area into an equilateral triangle and three congruent segments.

 Jul 22, 2020
 #2
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Area of 3 segments if the radius is 1        A3segments = ( r2pi - 3√3 / 2 ) / 2            r = a = 1

                                                                             

Red area                                    A = (√3 / 4) ( r2pi - 3√3 / 2 ) / 2  wink

 Jul 22, 2020
edited by Guest  Jul 22, 2020
edited by Guest  Jul 22, 2020

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