The cost of fencing a circular field at the rate of ₹ 24 per meter is ₹ 5280. The field is to be ploughed at the rate of ₹ 15.50 per m2 . Find the cost of ploughing the field.
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EXPLANATION.
Cost of fencing a circular field at the rate of ₹ 24 per meter = ₹ 5280.
Field is to be ploughed at the rate of ₹ 15.50 per m².
As we know that,
Total length of field = Total costs of fencing/Cost of fencing per m².
Total length of field = 5280/24.
Total length of field = 220 m.
As we know that,
Formula of :
Circumference of circle = 2πr.
Circumference of a circular field = Total costs.
⇒ 2πr = 220.
⇒ 2 x 22/7 x r = 220.
⇒ 2 x 22 x r = 220 x 7.
⇒ 22 x r = 110 x 7.
⇒ r = 5 x 7.
⇒ r = 35 m.
Area of the circle = πr².
⇒ 22/7 x 35 x 35 = 3850 m².
Cost of ploughing per meter = 15.50 per m².
Total Cost of ploughing the field = 3850 x 15.50 = 59,675.
Total Cost of ploughing the field = ₹ 59,675.
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QUESTION :
- The cost of fencing a circular field at the rate of ₹ 24 per meter is ₹ 5280. The field is to be ploughed at the rate of ₹ 15.50 per m2 . Find the cost of ploughing the field.
GIVEN :
- cost of fencing a circular field at the rate of ₹ 24 per meter is ₹ 5280
- field is to be ploughed at the rate of ₹ 15.50 per m2
TO FIND :
- Find the cost of ploughing the field = ?
SOLUTION :
circle formula = 2 πr
let us do :
- Area = 2 x 22/7 x r = 220
- AREA = 2 x 22 x r = 220 x 7
- AREA = 22 x r = 110 x 7
- AREA = 5 x 7
AREA = 35 metre
then, we have :
- circle area we have = πr²
- circle area = 22/7 x 35 x 35 = 3850 m²
then,
- field is to be ploughed at the rate = ₹ 15.50
- field is to be ploughed = 15.50 × 3850
field is to be ploughed = ₹ 59,675
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