The Relationship Between Circumference & Area Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
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)
To find the area of a circle, you can use the formula A = πr^2, where r is the radius of the circle.
Given that the circumference is 22π inches, we can use the formula for circumference, C = 2πr, to solve for the radius.
22π = 2πr
r = 22π / 2π
r = 11
Now that we have the radius (r = 11), we can substitute it into the formula for the area of a circle:
A = 3.14 * 11^2
A = 3.14 * 121
A = 380.14
Therefore, the area of the circle is 380.14 square inches.