Question

the area of a circular plot is 9856 metre square.calculate the cost of fencingthe plot at Rs.32.50 per metre.​

Answer 1

Rs 11440

Explanation:

Area of a circular plot is
`9856\text{ }m^(2)`.

The area of a circle with radius
`r` is given by
`\pi r^(2)`

`\pi r^(2)=9856\\r^(2)=9856*(7)/(22)=3136\\r=56\text{ }m`

So, the radius of the circular plot is
`56\text{ }m`.

Cost of fencing the plot is
`32.50(Rs)/(m)`.

Total circumference of the circular plot is given by
`2\pi r`

Circumference =
`2*(22)/(7)*56=352\text{ }m`

Cost of fencing =
`352\text{ }m* 32.50(Rs)/(m)=11440\text{ }Rs`

∴ Cost of fencing = Rs 11440