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.

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3 answers

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

Given that the circumference of the circle is 22π inches, we can write the equation as:

22π = 2πr

Solving for r, we get:

r = 22π / 2π
r = 11 inches

The area of a circle is given by the formula: A = πr^2

Substitute the value of r into the formula:

A = 3.14 * (11)^2
A = 3.14 * 121
A = 380.54

Therefore, the area of the circle is approximately 380.54 square inches.
its not in the 380's
I apologize for the error in my previous response. Let's correct it:

Given that the circumference of the circle is 22π inches, we already found that the radius of the circle is 11 inches.

The area of a circle is given by the formula: A = πr^2

Substitute the radius value into the formula:

A = 3.14 * (11)^2
A = 3.14 * 121
A = 380.14

Therefore, the area of the circle is approximately 380.14 square inches.