Cost of ploughing at the rate of Rs. 10 per m2 is Rs. 1,540. Find ther

1.	Cost of ploughing at the rate of Rs. 10 per m2 is Rs. 1,540. Find theradius of the circular field.
Answer» Cost of ploughing = total area x cost of poulghing per 1 ( or given ) metre . In the given question, Cost of ploughing per metre= Rs 10 per m^2 Cost of ploughing the whole area = Rs 1540 = > Total area x Rs 10 / m^2 = Rs 1540 = > Total area = Rs 1540 / Rs 10 m^2 = > Total area = 154 m^2 As the given field is circular in shape, it's area should be πr^2. Let the radius of the field be a, Area of the field = 154 m^2 ( from above ) = > ( 22 / 7 ) x a^2 = 154 m^2 = > a^2 = 154 x 7 / 22 m^2 = > a^2 = 7 x 7 m^2 = > a^2 = 7^2 m^2 = > a = 7 m Hence the radius of the circular field = 7 m.

Cost of ploughing at the rate of Rs. 10 per m2 is Rs. 1,540. Find theradius of the circular field.

Answer»

Cost of ploughing = total area x cost of poulghing per 1 ( or given ) metre .

In the given question,

Cost of ploughing per metre= Rs 10 per m^2

Cost of ploughing the whole area = Rs 1540

= > Total area x Rs 10 / m^2 = Rs 1540

= > Total area = Rs 1540 / Rs 10 m^2

= > Total area = 154 m^2

As the given field is circular in shape, it's area should be πr^2.

Let the radius of the field be a,

Area of the field = 154 m^2 ( from above )

= > ( 22 / 7 ) x a^2 = 154 m^2

= > a^2 = 154 x 7 / 22 m^2

= > a^2 = 7 x 7 m^2

= > a^2 = 7^2 m^2

= > a = 7 m

Hence the radius of the circular field = 7 m.