Question

nek chand created a 2 feet wide garden path around a circular garden of radius 7 feet .He want to cover the path at the rate of Rs 32 per 8 sq feet . Find the cost of occured.​

Answer 1

Answer:

please mark me as brainlist

Step-by-step explanation:

please mark me as brainlist

Answer 2

The cost of covering the path is Rs 402.28.

Given: Nek Chand created a 2 feet wide garden path around a circular garden of radius 7 feet. The rate of covering the path is Rs 32 per 8 sq. feet.

To Find: Cost of covering the path.

Solution: To find the cost of the path around the garden, we need to find the area of the path. And, for that, we need to find the area of the whole - the garden and the path together and then subtract the area of the garden from it.

As all the measurements are given in the same unit, so no need for unit conversion.

Now, to find the area of the whole, we need to have the radius, say 'R'. We are given the radius of the garden, say 'r' as 7 feet and as the path is 2 feet wide around the garden, so the needed radius will be

$7+2=9$ feet = R

Now, the area of the circle = $\pi r^2$, where 'r' is the circle's radius.

So, the area of the path = area of the whole ( path and the garden together) - area of the garden

⇒ the area of the path = $\pi R^2-\pi r^2$

⇒ the area of the path = $\pi (R^2-r^2)$

We are not given any specified value of $\pi$, so we can use any of the two.

⇒ the area of the path = $\frac{22}{7} (9^2-7^2)$

⇒ the area of the path = $\frac{22}{7} (81-49)$

⇒ the area of the path = $\frac{22}{7} (32)$

⇒ the area of the path = $\frac{704}{7}$

⇒ the area of the path = $100.57$

As the area is written with the square of the unit. So, the area of the path is $100.57 feet^2$.

Now, the cost for covering 8 sq feet = Rs 32

So, the cost of covering 1 sq feet = Rs $\frac{32}{8}$

i.e., cost of covering 1 sq feet = Rs 4

So, the cost of covering 100.57 sq feet = Rs 4 × 100.57

i.e., the cost of covering 100.57 sq feet = Rs  402.28

So, the cost of covering the path around the garden is Rs 402.28.

#SPJ1