Eq triangle minus arcs

In an equilateral triangle with a 2cm side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the content of the shaded part - a formation that makes up the difference between the triangle area and circular cuts.

Correct result:

S =  0.1613 cm2

Solution:

a=2 cm r=1 cm  S1=π r2/2=3.1416 12/21.5708 cm2  S2=34 a2=34 22=3 cm21.7321 cm2  S=S2S1=1.73211.5708=0.1613 cm2

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