Answer: We know that the formula for the circumference of a circle is:
Circumference = 2πr
where r is the radius of the circle.
In this problem, we are given the circumference, which is 5π ft, so we can set up an equation:
5π = 2πr
Dividing both sides by 2π, we get:
r = 5/2 feet
Now that we know the radius, we can use the formula for the area of a circle:
Area = πr^2
Substituting in the value of r that we found, we get:
Area = π(5/2)^2
Area = π(25/4)
Simplifying, we get:
Area = 25π/4
Therefore, the area of the circle is 25π/4 square feet.
Explanation: