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)
in.2
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the circumference is 22π inches, we can set up the equation:
22π = 2πr
Divide both sides by 2π to solve for r:
r = 11 inches
The formula for the area of a circle is A = πr^2. Substituting the radius we found, we get:
A = π(11)^2
A = π(121)
A = 121π
Substitute 3.14 for π and calculate the area:
A = 121(3.14)
A = 379.94 in^2
Therefore, the area of the circle is approximately 379.94 square inches.