Question

The cost of fencing a circular field at at the rate of rupees 24 per metre is rupees 5280 . The field has to be ploughed at rupees 0.05 per metre square . Find the cost of ploughing the field . Take pie as 22÷7

Answer 1

Answer:

192.50 Rs

Step-by-step explanation:

cost of fencing the circular field = 24 Rs / m

total cost = 5280 Rs

so, the length of circumference of field = 5280 / 24 m

                                                                 = 220 m

circumference  = 2 * pi *r

220 m = 2 * 22 / 7 * r

r = ( 220 * 7 ) / 22 * 2

r = 1540 / 44

r = 35 m

so, the radius of circular field = 35 m

now,

the area of field = pi * r * r

                          = 22 / 7 * 35 * 35

                          = 22 * 5 * 35

                          = 110 * 35

                          = 3850 m sq.

cost of ploughing = 0.05 m sq.

total cost of ploughing = 3850 * 0.05 Rs

                                      = 192.50 Rs

                                                                 Answer