The circumference of a circle is 22 pi inches. Find the area of that circle. Substitute 3.14 for pi Express answer in hundredths place

1 answer

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we know that C = 22π inches. We can substitute this value into the formula:

22π = 2πr

To get the radius, we can divide both sides of the equation by 2π:

r = 22π / (2π) = 11 inches

Now that we know the radius, we can calculate the area of the circle using the formula A = πr^2:

A = π(11)^2 = π(121) = 121π

Since we are asked to substitute 3.14 for π and express the answer in the hundredths place, we can calculate the area as follows:

A ≈ 121 * 3.14 = 380.94

Therefore, the area of the circle is approximately 380.94 square inches.