Circumference of a circle is 22 pi. inches. Find the area of that circle. Substitute 3.14 for pi
Express your answer to the hundredths place
To find the area of a circle, we will use the formula:
Area = πr^2
Given the circumference is 22π inches, we can find the radius (r) using the formula for the circumference of a circle:
Circumference = 2πr
22π = 2πr
r = 22 / 2 = 11 inches
Now we can substitute the radius into the area formula:
Area = π(11)^2
Area = π(121)
Area = 121π
Since π is approximately 3.14, we substitute this value:
Area = 121 * 3.14
Area ≈ 379.94
Therefore, the area of the circle with a circumference of 22π inches is approximately 379.94 square inches.