The circumference of a circle is 22π inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.(1 point) in.2
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the circumference of the circle is 22π inches, we can find the radius by rearranging the formula:
22π = 2πr
r = 22π / 2π
r = 11 inches
Now that we have the radius, we can find the area of the circle using the formula A = πr^2:
A = π(11)^2
A = 121π square inches
Substitute 3.14 for π:
A ≈ 121 * 3.14
A ≈ 379.94 square inches
Therefore, the area of the circle is approximately 379.94 square inches.