A 360° 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?
PLEASE HELP
A = πr^2
A rotating sprinkler that sprays at a radius of 11 feet is used to water a lawn. How much square feet of the lawn has been covered?
To find the area of the lawn that is watered by the sprinkler, we need to calculate the area of the circle that the sprinkler covers.
The formula to find the area of a circle is: A = π * r^2, where "A" is the area and "r" is the radius of the circle.
Given that the radius of the sprinkler is 11 feet, we can substitute this value into the formula:
A = π * (11 feet)^2
Using a calculator, we can calculate the area:
A ≈ 3.1415 * (11 feet)^2
A ≈ 3.1415 * 121 square feet
A ≈ 380.1322 square feet
Therefore, the area of the lawn that is watered by the sprinkler is approximately 380.1322 square feet.