Question 56

A field is in the form of a circle. The area of the field is 3850 $$m^{2}$$ ,and if the cost of fencing around it is ₹11 per metre, then the cost (in ₹) is:
(Take $$\pi=\frac{22}{7}$$)

Solution

As we know,

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

Given , area = 3850$$m^2$$

$$\therefore\ \frac{22}{7}\times\ r^2=3850$$

$$\therefore\ \ r^2=1225$$

$$\therefore\ \ r=35m$$

We know, Fencing is always done at the circumference of the field.

Total cost of fencing = Circumference of field $$\times\ $$ rate of fencing

= $$2\times\ \frac{22}{7}\times\ 35\times\ 11=₹2420$$

Hence, Option B is correct.

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