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.(
3 answers
The area of the circle is 154 square inches.
nooo
Apologies for the mistake. Let's recalculate:
Given, circumference = 22π inches
We know that the formula for the circumference of a circle is C = 2πr, where r is the radius.
Therefore, 22π = 2πr
=> r = 22π / (2π)
=> r = 11
Now, the formula for the area of a circle is A = πr^2
Plugging in the value of r, we get:
A = π(11)^2
A = π(121)
A ≈ 121π
Using the value of π as 3.14, we get:
A ≈ 121 * 3.14
A ≈ 379.94
Therefore, the area of the circle is approximately 379.94 square inches.
Given, circumference = 22π inches
We know that the formula for the circumference of a circle is C = 2πr, where r is the radius.
Therefore, 22π = 2πr
=> r = 22π / (2π)
=> r = 11
Now, the formula for the area of a circle is A = πr^2
Plugging in the value of r, we get:
A = π(11)^2
A = π(121)
A ≈ 121π
Using the value of π as 3.14, we get:
A ≈ 121 * 3.14
A ≈ 379.94
Therefore, the area of the circle is approximately 379.94 square inches.