Answer
$30.25 \pi \ cm^2$
Work Step by Step
Let $A$ be the area of a circle. The area $(A)$ of a circle whose radius is $R$ is given by: $A=\pi r^2 ...(1)$
We know that the radius is half of the diameter of a circle. That is, $r=\dfrac{d}{2}=\dfrac{11}{2}=5.5$
Plug the data in the equation (1) to obtain:
$A=\pi (5.5)^2=\pi(30.25)$
Therefore, we get , $Area=30.25 \pi \ cm^2$