Question

the cost of fencing a circular field at the rate of Rs.24per metre is Rs. 5280 . the field is to be ploughed at the rate of Rs. 0.50 per m² . find the cost of ploughing the field (
$\pi = \frac{22}{7}$
solve in easy way..... ch 12 class 10​

Answer 1

Answer:

Rs. 1925

Step-by-step explanation:

cost of fencing = Rate x perimeter or circumference of circular field (2 x pi x r )

5280 = 24 x 2 x 22/7 x r

5280 x 7/22 = 48 r

1680 = 48 r

r = 35

Area of the field = $\pi r^{2}$

= 22/7 x 35 x 35

= 3850 $m^{2}$

And total cost of ploughing = 3850 x 0.50

= 1925

Hope thos helps!

Answer 2

AnSwEr -:

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Rs. 1925 is the cost of ploughing of

field.

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Explanation-:

The cost of fencing for 1 m = Rs. 24

metre.

Rate of ploughing per m^2 is Rs . 0.50

Circumference = Total cost / cost per m

=. 5280 /24

= 220 cm

Circumference of the field =220m

Let the radius be r

2 π r = 220 m

2 x 22/7 x r = 220 m

=44/7 x r = 220 m

Therefore,

r= 220 x 7/44 = 35 m

Area of the field = π r^2

= π (35)^2 =

= 22/7 x 35 x35

22 x5 x35m^2

= 3850 m^2

Cost of ploughing = 0.50 per m^2

Cost of ploughing of 3850 m^2=

3850 m^2 x 0.50 m^2

= 1/2 x 3850

= Rs. 1925

Therefore,

Rs. 1925 is the cost of ploughing of

field.

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