Question

A circular rug has a diameter of 10 feet. A liquid stain protectant cost $1.75/sq ft. How much will it cost to put the stain protectant on the entire rug?

Answer 1

$137.45

Explanation:

First, we need to find the area of the circular rug in square feet.

Then we will multiply that with 1.75 to get total cost.

First,

Area of Circle =
`\pi r^2`

Where r is the radius (which is half of diameter)

Given, diameter = 10 feet

Radius = 10/2 = 5 feet

Now, the area (A) :

`A=\pi r ^2\\A = \pi (5)^2\\A = 25\pi\\A= 78.54`

So, total cost would be:

78.54 * 1.75/sq ft = $137.45