Question
Anaya bought a circular rug for her living room. The rug covers an area of 113.04 square feet. What is the radius of the rug?
A rug has an area of 113.04 square feet.
Anaya bought a circular rug for her living room. The rug covers an area of 113.04 square feet. What is the radius of the rug?
A rug has an area of 113.04 square feet.
18 ft
12 ft
6 ft
36 ft
A rug has an area of 113.04 square feet.
Anaya bought a circular rug for her living room. The rug covers an area of 113.04 square feet. What is the radius of the rug?
A rug has an area of 113.04 square feet.
18 ft
12 ft
6 ft
36 ft
Answers
GPT 3.5
To find the radius of the rug, we can use the formula for the area of a circle, which is A = πr^2.
Given that the area (A) is 113.04 square feet, we can rearrange the formula to solve for the radius (r).
A = πr^2
113.04 = πr^2
Divide both sides of the equation by π to isolate r^2:
r^2 = 113.04/π
Now, take the square root of both sides to solve for r:
r = sqrt(113.04/π)
Using a calculator, this simplifies to approximately:
r ≈ 6 ft
Therefore, the radius of the rug is 6 feet.
Given that the area (A) is 113.04 square feet, we can rearrange the formula to solve for the radius (r).
A = πr^2
113.04 = πr^2
Divide both sides of the equation by π to isolate r^2:
r^2 = 113.04/π
Now, take the square root of both sides to solve for r:
r = sqrt(113.04/π)
Using a calculator, this simplifies to approximately:
r ≈ 6 ft
Therefore, the radius of the rug is 6 feet.