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)
plssss
that is wrong
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Given that the circumference is 22π inches and substituting 3.14 for π, we have:
22π = 2(3.14)r
22π = 6.28r
r = 22π / 6.28
r ≈ 3.49 inches
Now, the area of a circle is given by the formula A = πr^2. Substituting the radius we found, we have:
A = 3.14(3.49)^2
A ≈ 3.14(12.18)
A ≈ 38.22 square inches
So, the area of the circle is approximately 38.22 square inches.
I apologize for the mistake. Let's correct the calculation:
Given: Circumference (C) = 22π inches
C = 2πr
22π = 2πr
r = 22 / 2
r = 11 inches
Now, we can find the area of the circle using the formula A = πr^2:
A = 3.14 * (11)^2
A = 3.14 * 121
A = 380.14 square inches
Therefore, the area of the circle is 380.14 square inches.