Question

The circumference of a circular field is $440m$,
Find :
Its radius
Its area
The cost of leveling the field at the rate of $Rs17.50persq.m.$

Answer 1

We have,

Circumference of a circular field is $440m.$

radius$=?$

Area$=?$

Cost=?

Now,

Circumference$=440$

$2\pi r=440$

$\Rightarrow \pi r=220$

$\Rightarrow r=\frac{220}{\pi }$

$\Rightarrow r=\frac{220}{\frac{22}{7}}$

$\Rightarrow r=\frac{7\times 220}{22}$

$\Rightarrow r=7\times 10$

$\Rightarrow r=70m.$

Its radius is $=70m.$

Area$=\pi r^2$

$Area=\frac{22}{7}\times {70}^2$

$Area=\frac{22}{7}\times 70\times 70$

$Area=22\times 10\times 70$

$Area=22\times 700$

$Area=15400m^2.$

Cost of leveling

$=15400\times 17.50$

$=269500$

Hence, this is the required answer.