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

490.9 square feet.

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=(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.