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.

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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.
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.

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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