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# the cost of fencing....

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the cost of fencing a circular field at the rate of rs 24 per metre is rs 5280. the field is to be ploughed at the rate of rs 0.5 per m2. find the cost of ploughing the field

SARAHann  Mar 7, 2017

#2
+79819
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We first need to find the circumference of the circular field.....so we have...

5280/24  = 220m

220  = 2*pi * r       divide by 2*pi

220/ (2 *pi)  = r

[110/pi ]   = r

So....the  area * cost per m^2  = total cost.....so we have

pi (110/pi)^2 * .5   ≈  rs 1926    [rounded]

CPhill  Mar 7, 2017
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#1
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the cost of fencing a circular field at the rate of rs 24 per metre is rs 5280. the field is to be ploughed at the rate of rs 0.5 per m2. find the cost of ploughing the field.

5,280 / 24 = 220 meters - Circumference of the field

220/Pi =70.03 - Diameter of the field

70.03/2 =35.015 - Radius of the field.

Area =r^2 . Pi

Area =35.015^2 x Pi

Area =3,851.75 m^2 - the area of the field.

3,851.75 x 0.5 =1,925.875 rs - the cost of ploughing the field.

Guest Mar 7, 2017
#2
+79819
+5

We first need to find the circumference of the circular field.....so we have...

5280/24  = 220m

220  = 2*pi * r       divide by 2*pi

220/ (2 *pi)  = r

[110/pi ]   = r

So....the  area * cost per m^2  = total cost.....so we have

pi (110/pi)^2 * .5   ≈  rs 1926    [rounded]

CPhill  Mar 7, 2017
#3
+302
+5