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)
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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.
The formula for the circumference of a circle is
C = 2πr
Given that the circumference of the circle is 22π inches, we can plug this into the formula and solve for the radius (r).
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 = 3.14 * 11^2
A = 3.14 * 121
A = 380.14
Therefore, the area of the circle is 380.14 square inches.
Given that the circumference of the circle is 22π inches, we can use the formula for the circumference of a circle:
C = 2πr
We are told that the circumference is 22π inches, so we can equate this to the formula and solve for the radius (r):
22π = 2πr
r = 22π / 2π
r = 11 inches
Now that we have the radius (r = 11 inches), we can find the area of the circle using the formula for the area of a circle:
A = πr^2
Substitute the radius r = 11 inches:
A = 3.14 * (11)^2
A ≈ 3.14 * 121
A ≈ 380.14
Therefore, the area of the circle is approximately 380.14 square inches.