Question 136

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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