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?

Respuesta :

Answer:

$137.45

Step-by-step 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 = [tex]\pi r^2[/tex]

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

Given, diameter = 10 feet

Radius = 10/2 = 5 feet

Now, the area (A) :

[tex]A=\pi r ^2\\A = \pi (5)^2\\A = 25\pi\\A= 78.54[/tex]

So, total cost would be:

78.54 * 1.75/sq ft = $137.45