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 ?

Respuesta :

Answer:

[tex]Area=121\pi ft^2[/tex] in terms of [tex]\pi[/tex].

Step-by-step 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:

[tex]Area=\pi r^2[/tex]

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

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

[tex]Area=\pi \times 11^2[/tex]

[tex]Area=121\pi ft^2[/tex] in terms of [tex]\pi[/tex].

This is approximately [tex]380.1 ft^2[/tex] to the nearest tenth