Question

the cost of fencing a circuclar field at the rate of ₹24 per metre is ₹ 5280 the field is to be ploughed at the rate of ₹ 0.50 per square metre find the cost of ploughing the field​

Answer 1

Answer:

1. cost of fencing the field = 5280,

rate of fencing = 24 = cost of fencing one metre

field fenced = 5280/24 = 220m

rate of ploughing the field = 0.50sq/unit

cost of ploughing 220m field = 220*0.50 = Rs.440

hope this helps

:)

Answer 2

$\blue{⇰Given \: that:-}$

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

• Rate of ploughing per meter square is Rs.050

$\green{⇰To \: Find:-}$

• Total cost of ploughing the field.

$\pink{⇰Solution:-}$

• We have to find the circumference of the field

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

$\sf ➯Circumference = \cancel\dfrac{5280}{24}$

$\sf ➯Circumference = 220cm$

$\orange{⇰Let:-}$

• The radius of field be r cm.

$\red{⇰We \: know \: that,}$

$\sf ➺Circumference = 2 \pi r$

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

$\sf ⇒220 = 2 \pi r$

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

$\sf ⇒220 = \dfrac{44}{7} \times r$

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

$\sf ⇒5 \times 7 = r$

$\sf ⇒35 = r$

$\purple{⇰Now:-}$

• Radius of circular field is 35cm.

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

$\sf ⇒22 \times 5 \times 35$

$\sf ⇒3850 {cm}^{2}$

$\blue{⇰Then,}$

• Cost of ploughing per m² = Rs.0.50

$\green{⇰Therefore,}$

➾Cost of ploughing 3850m²

⇒ 3850 × 0.50

⇒ Rs.1925