The circumference of a circle is 22π

inches. Find the area of that circle

1 answer

To find the area of a circle when given the circumference, we can use the formula:

Circumference = 2πr
where r is the radius of the circle.

Given that the circumference is 22π inches, we can set up the equation:
22π = 2πr

Dividing both sides by 2π:
r = 11 inches

Now that we have the radius, we can find the area of the circle using the formula:

Area = πr^2
Area = π(11)^2
Area = π(121)
Area = 121π square inches

Therefore, the area of the circle is 121π square inches.