Question
he 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)
inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.(1 point)
Answers
GPT 3.5
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the circumference is 22π inches, we can set this equal to 2πr and solve for the radius:
22π = 2πr
r = 22π / 2π
r = 11 inches
Now, we can find the area of the circle using the formula A = πr^2:
A = π(11)^2
A = π(121)
A = 121π
Substitute 3.14 for π:
A ≈ 121(3.14)
A ≈ 379.94
Therefore, the area of the circle is approximately 379.94 square inches.
Given that the circumference is 22π inches, we can set this equal to 2πr and solve for the radius:
22π = 2πr
r = 22π / 2π
r = 11 inches
Now, we can find the area of the circle using the formula A = πr^2:
A = π(11)^2
A = π(121)
A = 121π
Substitute 3.14 for π:
A ≈ 121(3.14)
A ≈ 379.94
Therefore, the area of the circle is approximately 379.94 square inches.