Mathematics · Geometry
A, B, and C are mutually intersecting circles of unit radius, such that each circle passes through the centers of the other two circles. The area of the shared overlapping region enclosed by all three circles is (given that the area of an equilateral triangle of unit side length is √34):
- 1(√34 - π8)
- 2(√3π4)
- 3(√34 + π)
- 4(π2 - √32)✓
Correct answer
(π2 - √32)
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