Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 62.8 inches.
What is the area of the rug? (Use 3.14 for .)
To find the area of the rug, we first need to find the radius of the circle.
The formula for circumference of a circle is: C = 2πr
Given that the circumference is 62.8 inches:
62.8 = 2πr
r = 62.8 / (2π)
r = 62.8 / (2 * 3.14)
r = 9.99 inches
Now that we have the radius, we can find the area using the formula for the area of a circle:
A = πr^2
A = 3.14 * (9.99)^2
A = 3.14 * 99.80
A = 313.632 square inches
Therefore, the area of the rug is 313.632 square inches.