Answer:
We know that the formula for the circumference (C) of a circle is:
C = 2πr
where r is the radius of the circle.
We are given that the circumference is 8πm, so we can write:
8πm = 2πr
Simplifying this equation by dividing both sides by 2π, we get:
r = 4m
Now that we know the radius of the circle, we can use the formula for the area (A) of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(4m)^2
Simplifying this equation, we get:
A = π(16m^2)
A = 16πm^2
Therefore, the area of the circle is 16πm^2. The answer is C