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When a piece of wire is bent in the form of equilateral triangle then the area of the triangle is $$121 \sqrt{3} cm^{2}$$. If the same piece of wire is bent in the form circle , then the area of the circle in square centimeters is (Take $$\pi = \frac{22}{7})$$
we know that the area of the eqitriangle = $$a^{2}$$ $$\times$$Β $$\sqrt{3}$$ \4 =Β $$121 \sqrt{3}$$
a = 22
then the length of the wire = perimeter of the triangleΒ
Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β = 3a = 3*22 = 66
then the radius of the circle = 2$$\pi$$r = 2*$$\frac{22}{7})$$*r = 66Β
r = 21\2Β Β
then area of the circle =Β Β $$\pi$$ $$\times$$ $$r^{2}$$ =Β Β $$\frac{22}{7})$$Β $$\times$$Β $$\frac{21}{2})$$Β $$\frac{21}{2})$$
then area of the circle = 346.5 cm squareΒ AnswerΒ
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