SOLUTION: Three circles with radii 6 are tangent to each other. Find the area of the region enclosed between them. Please provide a diagram.
Algebra ->
Circles
-> SOLUTION: Three circles with radii 6 are tangent to each other. Find the area of the region enclosed between them. Please provide a diagram.
Log On
Question 79578: Three circles with radii 6 are tangent to each other. Find the area of the region enclosed between them. Please provide a diagram. Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! three lines connecting the centers of the three circles form an equilateral triangle with side 12
the three "slice of pie" shaped sections in the corners of the triangle are each 1/6 of a circle
so the area of the "between" region is just the difference between the area of the triangle and 1/2 of a circle