200k views
1 vote
Joanna bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be covered by rugs?​

User B Hart
by
8.0k points

1 Answer

2 votes

Answer:

The area of a circle can be calculated using the formula:

Area = π x radius^2

where π (pi) is a mathematical constant approximately equal to 3.14159.

Since each rug has a radius of 4 feet, the area of one rug is:

Area = π x 4^2

Area = 16π square feet

To find the total area covered by the three rugs, we need to multiply the area of one rug by three:

Total area = 16π square feet x 3

Total area = 48π square feet

Using a calculator, we can approximate the value of π to two decimal places as 3.14, so the total area covered by the three rugs is:

Total area ≈ 48 x 3.14 square feet

Total area ≈ 150.72 square feet

Therefore, Joanna's bedroom floor will be covered by approximately 150.72 square feet of rugs.

User Pleymor
by
7.7k points