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Three non-concentric circles of equal radii are drawn such that each circle touches the other two externally. The centres are joined to form a triangle

whose area is 17320.5 cm^2. Find the area of the triangle not included in the circles.


Edge of triangle=2 radius
area of triangle=17320.5 cm^2
therefore area of triangle=3^(1/2)/4*a^2
                      194.14 cm=2r
area of three sectors=3*60/360*22/7*97.07*97.07 cm^2
                                  =14806.92 cm^2
area of triangle not included in the circles=area of triangle -area of three sectors
                            2513.6 cm^2
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