Question

The cost of fencing a circular field at the rate of rs 24 per meter is rs 5280. Find the perimeter of the circular field

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

Answer:

⇰Given that:-

Cost of fencing circular field at rate of ₹24 per meter is 5280.

Rate of ploughing per meter square is Rs.050

⇰To Find:-

Total cost of ploughing the field.

⇰Solution:-

We have to find the circumference of the field

$\sf ➯Circumference = \dfrac{Total \: cost}{cost \: per \: m}$

$</p><p>\sf ➯Circumference = \cancel\dfrac{5280}{24}$

$\sf ➯Circumference = 220cm$

⇰Let:-

The radius of field be r cm.

⇰We know that,

$\sf ➺Circumference = 2 \pi r$

$\sf ➺Area \: of \: circle = \pi {r}^{2}$

$\sf ⇒220 = 2 \pi r$

$\sf ⇒220 = 2 \times \dfrac{22}{7} ×r$

$\sf ⇒220 = \dfrac{44}{7} \times r$

$\sf ⇒\cancel 2\cancel 2\cancel0⁵ \times \dfrac{7}{\cancel4\cancel4} = r$

$\sf ⇒5 \times 7 = r$

$\sf ⇒35 = r$

⇰Now:-

Radius of circular field is 35cm.

$\sf ⇒Area = \dfrac{22}{7} \times {35}^{2}$

$\sf ⇒22 \times 5 \times 35$

$\sf ⇒3850 {cm}^{2}$

⇰Then,

Cost of ploughing per m² = Rs.0.50

⇰Therefore,

➾Cost of ploughing 3850m²

⇒ 3850 × 0.50

⇒ Rs.1925.