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 ?

Question

asked Jul 6, 2020 90.9k views

1 Answer

Harsh Trivedi · Answer 1 · 2020-07-12T09:43:08+0000

Answer:

$Area=121\pi ft^2$ 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