Respuesta :
Answer:
490.9 square feet.
Step-by-step explanation:
We have been given that a contractor is building the base of a circular fountain. The base of the fountain has a diameter of 25 feet. We are asked to find the area of the base of the fountain.
We will use area of circle formula to solve our given problem.
[tex]A=\pi r^2[/tex], where r represents radius of circle.
We know that diameter is 2 times radius, so radius of the base of fountain would be half the diameter.
[tex]r=\frac{25}{2}=12.5[/tex]
[tex]A=\pi (12.5)^2[/tex]
[tex]A=156.25\pi[/tex]
[tex]A=490.8738521[/tex]
Upon rounding our answer to nearest tenth, we will get:
[tex]A\approx 490.9[/tex]
Therefore, the area of the base of the fountain would be 490.9 square feet.
