Answer:
25π feet^2
Explanation:
The area of a circle can be found using the following formula.
a=πr^2
We are given the diameter, but we need to find the radius. The radius is half of the diameter, or
r=d/2
We know the diameter is 10 feet. Therefore, we can substitute 10 in for d.
r=10/2
Divide 10 by 2
r=5
The radius is 5 feet.
Now we know the radius, and can substitute it into the area formula.
a=πr^2
r=5
a=π*5^2
Evaluate the exponent.
5^2 is equal to 5*5, which is 25.
a=π*25
a=25π
Add appropriate units. Area always uses units^2, and the units in this problem are feet.
a=25π feet^2
The area of the circle is 25π square feet