Question
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)
in.2
inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.(1 point)
in.2
Answers
There are no human answers yet.
Answered by
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 up the equation:
22π = 2πr
Divide both sides by 2π to solve for r:
r = 11 inches
The formula for the area of a circle is A = πr^2. Substituting the radius we found, we get:
A = π(11)^2
A = π(121)
A = 121π
Substitute 3.14 for π and calculate the area:
A = 121(3.14)
A = 379.94 in^2
Therefore, the area of the circle is approximately 379.94 square inches.
Given that the circumference is 22π inches, we can set up the equation:
22π = 2πr
Divide both sides by 2π to solve for r:
r = 11 inches
The formula for the area of a circle is A = πr^2. Substituting the radius we found, we get:
A = π(11)^2
A = π(121)
A = 121π
Substitute 3.14 for π and calculate the area:
A = 121(3.14)
A = 379.94 in^2
Therefore, the area of the circle is approximately 379.94 square inches.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.