Question

A 360 degree rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. What is the Area of the lawn that is watered by this sprinkler ?

Answer 1

`Area=121\pi ft^2` in terms of
`\pi`.

Explanation:

A 360 degree rotating sprinkler will water a full circular region of the lawn.

The area of this circular region is calculated using the formula:

`Area=\pi r^2`

where r=11 feet is the radius of the circular region covered.

We substitute the value of the radius into the formula to get:

`Area=\pi * 11^2`

`Area=121\pi ft^2` in terms of
`\pi`.

This is approximately
`380.1 ft^2` to the nearest tenth