+0  
 
0
502
2
avatar

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

 

 Jul 21, 2020
 #1
avatar+23252 
0

Hint:  divide the area into an equilateral triangle and three congruent segments.

 Jul 22, 2020
 #2
avatar+1490 
+1

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

2 Online Users