The circumference of a circle is 22pi inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.
Given circumference = 22pi inches and substituting 3.14 for pi:
Circumference = 2 * pi * r
22pi = 2 * 3.14 * r
22pi = 6.28r
r = 22pi / 6.28
r = 3.5 inches
Now, to find the area of the circle, we can use the formula:
Area = pi * r^2
Area = 3.14 * (3.5)^2
Area = 3.14 * 12.25
Area = 38.4075
Therefore, the area of the circle is approximately 38.41 square inches.
wrong
I apologize for the mistake. Let's recalculate the area of the circle using the correct formula:
Given circumference = 22π inches and substituting 3.14 for π:
Circumference = 2πr
22π = 2 * 3.14 * r
22π = 6.28r
r = 22π / 6.28
r ≈ 11 / 3 inches
r ≈ 3.5 inches
Now, to find the area of the circle, we can use the formula:
Area = π * r^2
Area = 3.14 * (3.5)^2
Area = 3.14 * 12.25
Area = 38.365
Therefore, the area of the circle is approximately 38.37 square inches.