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.
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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3 answers
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.
inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.
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.
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.
1 answer