Question

A contractor is building the base of a circular fountain. The base of the fountain has a diameter of 25 feet.What is the area of the base of the fountain? Round your answer to the nearest tenth.

Answer 1

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.

$A=\pi r^2$, 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.

$r=\frac{25}{2}=12.5$

$A=\pi (12.5)^2$

$A=156.25\pi$

$A=490.8738521$

Upon rounding our answer to nearest tenth, we will get:

$A\approx 490.9$

Therefore, the area of the base of the fountain would be 490.9 square feet.