Three circles of equal radii touch each other as shown in the figure. The radius of each circle is 1 cm. What is the area of the shaded region?

(a): Area of triangle $=$3$\surd$4$\times$(2)$2$=$3$√$c$m$2$ Area of part of three circles (indicated as circles p, q, r in the adjoining figure) enclosed by the triangle.             $=3\times \pi \times$(1)$2$×$60$360$=$π$2$c$m$2$Areaofshadedregion$=$3$√$-$π$2$=$(2$3$\surd$−π)$2$c$m$2$AdditionalInsightIfradiusof\circ \le i{s}^{\prime }{a}^{\prime },then,areaof$Δ=$3$√$a$2$\text{and}areaofpartofthree\circ \le s\left(\in dicatedas\circ \le sp,q,r\in theadjo\in \in gfigure\right)enclosedby$Δ=3×$a$2$\times$60$360$=$\pi$a$2$2∴$Areaofshadedregion,$=$a$2$2$(2$3$√\displaystyle−π{)}