three circles of equal radius r are pairwise tangent.find th

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three circles of equal radius r are pairwise tangent.find the area of the shape which is contained by the arcs of the circles which start and end at the points of tangent.
Thank you.

翻译:三个等圆两两相切,半径为r,求三圆围成的面积.
连接三个圆心,出现一个等边三角形,要求面积等于三角形面积减去三个60度的扇形.
√3 r^2 - 3*1/6 * r^2*π
=√3 r^2-π/2 r^2
=(√3 - π/2)r^2
我居然给他做全套了...

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