Answer:
The area of the circle is 30.25π cm^2.
Explanation:
The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.
Substituting this value for r into the formula for the area of a circle, we get:
A = π * (5.5 cm)^2
= π * 30.25 cm^2
= 30.25π cm^2
Therefore, the area of the circle is 30.25π cm^2.