Question

A field is in the form of a circle. A fence is to be erected around the field. The cost fencing would be Rs. 2640 at the rate of Rs. 12 per metre. The, the field is to be thoroughly ploughed at the cost of Re. 0.50 per m². What is the amount required to plough the field? [Take $(\pi=\frac{22}{7})$].

Answer 1

Answer:

The amount required to plough the land is  ₹ 1925.  

Step-by-step explanation:

SOLUTION :  

Given :  

The cost of fencing of the field which is in the form of a circle = ₹ 2640.

 Rate of fencing per metre = ₹ 12

 

Cost of fencing = Circumference of the circular  field x Rate of fencing per metre

2640 = Circumference of the circular  field x 12

Circumference of the circular field = 2640/12 = 220m

 

Let radius of the circular field be r m

Circumference of the circular = 2πr

2πr = 220

2 x 22/7 x r = 220

r = 70/2

r = 35 m

Radius of the circular field = 35 m

Area of the circular field, A = πr²

A = 22/7 x 35 x 35

A = 22 × 5 × 35

A = 110 × 35

A = 3850 m²

Cost of ploughing per m² land = ₹ 0.50

Cost of ploughing 3850 m² land = 0.50 x 3850 = ₹ 1925  

Cost required to plough the land = ₹ 1925.

Hence, the cost required to plough the land is  ₹ 1925.

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Answer 2

$\textbf{Answer is in Attachment !}$