Question 133

A field is in the form of a circle. The cost of fencing around it at ₹12 per metre is ₹2,640. Whatis the area (in m$$^2$$) of the field? (Take $$\pi = \frac{22}{7}$$)

Solution

From the given question perimeter = $$\dfrac{2640}{12}$$ = 220 m

$$\Rightarrow 2 \pi r = 220 m $$

$$\Rightarrow 2 \times \dfrac{22}{7} = 220 $$ put the value

$$\Rightarrow r = 7\times 5 = 35 m $$

hence Area of circle = $$\pi r^2 $$

$$\Rightarrow \dfrac{22}{7} \times 35 \times 35 $$ (put the value)

$$\Rightarrow 22 \times 5 \times 35 $$

$$\Rightarrow 3850 m^2 $$Ans

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