Question

The circumference of a circular field is
440 m. Find the cost of levelling the field
at the rate of 5 per sq. m.

Take pi =22/7

Firstly find it's area and then rate

cost of levelling is important
​

Answer 1

Hello, Buddy!!

Given:-

• Circumference of a Circle = 440m.
• Cost of levelling per sq.m(m²) = ₹5.

To Find:-

• Total cost of levelling of the circular field.

Required Solution:-

Let,

Radius be r

$2\pi{r} = 440 \\ \frac{22}{7} r = \cancel{\frac{440}{2}} \\ r = {\cancel{220}} \times \frac{7}{\cancel{22}} \\ r = 10 \times 7 \\ r= 70$

• Radius of Circle ☞ 70m.

${\pi} ({r})^{2} \\ \frac{22}{7} \times {(70)}^{2} \\ \frac{22}{\cancel{7}} \times \cancel{70} \times 70 \\ 22 \times 10 \times 70 \\ 220 \times 70 \\ 15400$

• Area of Circle ☞ 15400m²

$15400 \times 5 \\ 77000$

• Total Cost of Levelling ➪ ₹77000.

Formulas Used:-

• Circumference of the Circle is 2πr
• Area of Circle is πr²

@MrMonarque♡

Hope It Helps You ✌️