Question

Anwarbibi has spend Rs 2664 at the the rate of Rs 18.50 per meter for fencing of her semicircular land . Let us write by calculating how much cost it will take , if she makes the semicircular land plough at the rate of Rs 32per sq.meter.

Answer 1

Answer: The total cost of plowing the semicircular land is Rs. 39424

Given: Anwarbibi has spent Rs. 2664 at the rate of Rs. 18.50 per meter.

Rate of plowing the land = Rs. 32/$m^{2}$

To find:  Total cost of plowing the semicircular land

Step-by-step explanation:

Anwarbibi has spent Rs. 2664 at the rate of Rs. 18.50 per meter

∴ The perimeter of the semicircle = $\frac{Total cost of fencing}{Rate of fencing per meter}$

= $\frac{2664}{18.50}$ = 144 m

Since, the perimeter of semicircle is given by $\pi r + 2r$

⇒ $r(\pi + 2) = 144$

⇒ $r(\frac{22}{7} + 2) = 144$

⇒      $r(\frac{22 + 14}{7}) = 144$

⇒ $r(\frac{36}{7}) = 144$

On multiplying both sides by $\frac{7}{36}$ , we get

⇒ $r = \frac{7}{36}$ × $144$  

⇒ $r = 28$

Let us now calculate the area of the semicircular land.

Area of the semicircular land = $\frac{\pi r^{2}}{2}$

Putting $r = 28$, we get

Area of land =  $\frac{22}{7}$×$(28)^{2}$×$\frac{1}{2}$

= $\frac{22}{7}$×$28$×$28$×$\frac{1}{2}$

= 1232 $m^{2}$

Since the cost of plowing the land is Rs. 32/$m^{2}$

The total cost = $1232$ × $32$ = Rs. 39424

To know more please go through

https://brainly.in/question/21893804

https://brainly.in/question/54378819

#SPJ1