The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. In this case, we are given that the circumference is 22π inches, so:
22π = 2πr
Dividing both sides by 2π, we get:
r = 11 inches
The area of a circle is given by the formula A = πr^2. Substituting the radius we found earlier:
A = π(11)^2
A = π(121)
A = 121π
Now, substituting 3.14 for π:
A = 121(3.14)
A = 380.34
Therefore, the area of the circle is approximately 380.34 square inches.