Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 75.36 inches. What is the area of the rug? (Use 3.14 for .)
To find the area of the circle-shaped rug, we need to first find the radius of the circle.
Given that the circumference of the circle is 75.36 inches, we can use the formula:
circumference = 2 * π * radius
75.36 = 2 * 3.14 * radius
Dividing both sides by 2 * 3.14, we get:
radius = 75.36 / (2 * 3.14)
radius ≈ 12 inches
Now that we have the radius, we can find the area of the circle using the formula:
area = π * radius^2
area = 3.14 * 12^2
area = 3.14 * 144
area ≈ 452.16 square inches
Therefore, the area of the rug is approximately 452.16 square inches.