Question

The radius of the circular plot is 14m.3 rounds of wire is made around it. Cost of 1m wire is rupees 40.Find the expenditure of the work

Answer 1

here is your answer

Answer 2

Given that,

Radius of the circular plot = 14 m

Cost of 1 m wire = Rs. 40

To find,

The expenditure of the work = ?

First of all we'll find the circumference of the circular plot to know how much wire we wanna in one round.

We know that,

Circumference of the circle = 2πr

Circumference of the circular plot = $2 \pi r$

Circumference of the circular plot = $2 \times \frac{22}{7} \times 14\:m$

Circumference of the circular plot = $2 \times \frac{22}{\cancel{7}} \times \cancel{14\:m}$

Circumference of the circular plot = $2 \times 22 \times 2$

Circumference of the circular plot = 88 m

Now, we have gotta the value of circumference. Now, we'll multiply it with 3 to know much wire we need for 3 rounds.

Wire needed for three wires = circumference $\times$ 3

Wire needed for three wires = 88 m $\times$ 3

Wire needed for three wires = 264 m

Now, we gotta the length of wire that we need for 3 rounds. Now, we'll multiply it with rate to get the cost of our expenditure.

Total cost of expenditure = total length of wire $\times$ rate

Total cost of expenditure = 264 m $\times$ Rs. 40 / m

Total cost of expenditure = Rs. 10,560

Total cost of expenditure = Rs. 10,560