The area of a circular playground is 22176 `m^(2)` . Find the cost of fencing this ground at the rate of Rs. 50 per m.

Explanation

Given area of a circular playground = `22176m^(2)`
`:. pir^(2) = 22176` [`because` area of circle = `pir^(2)`]
`rArr (22)/(7)r^(2)= 22176 rArr r^(2) = 1008 xx 7`
`rArr r^(2) = 7056 rArr r = 84m`
`:.` Circumference of a circle = `2pir = 2xx(22)/(7) xx 84`
= `44 xx 12 = 528 m`
`:.` Cost of fencing this ground = `528 xx 50` = Rs. 26400`