Answer:
A = (121/4)π
Explanation:
We know that the circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle. We are given that the circumference of the circle is 11π m, so we can write:
11π = 2πr
Dividing both sides by 2π, we get:
r = 11/2 meters
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value of r, we get:
A = π(11/2)^2
Simplifying the expression, we get:
A = π(121/4)
A = (121/4)π
Therefore, the area of the circle is (121/4)π square meters.