Respuesta :
Answer:
The area of the sprinkled lawn is 25π or 78.5 feet².
Step-by-step explanation:
Consider the provided information.
A lawn sprinkler sprays water 5 feet in every direction as it rotates.
The lawn sprinkler rotate in a circular path where the distance of the sprays water is the radius of the circle.
Here, the radius of the circle is 5 feet.
Find the area of covers by the sprinkler spray by using the formula of area of circle: πr²
Now substitute the value of r = 5 in above formula.
Area of sprinkled lawn = π × r² = π × 5²
= π × 25
= 25π or 78.5
Hence, the area of the sprinkled lawn is 25π or 78.5 feet².
The area in which the sprinkler is spraying water is 78.54 ft².
What is the area of a circle?
The area of a circle is given as the product of pi(π) and the square of the radius of the circle.
Area = π x (Radius)²
Given to us
- A lawn sprinkler sprays water 5 feet in every direction as it rotates.
Area in which sprinkler is spraying water
We know that the sprinkler is spraying water 5 feet in every direction as it rotates. therefore, the area in which the sprinkler is spraying water is circular(area of a circle).
Area in which sprinkler is spraying water
= Area of a circle
= π x (Radius)²
= π x (5)²
= π x (Radius)²
= 78.5398 ft² ≈ 78.54 ft²
Hence, the area in which the sprinkler is spraying water is 78.54 ft².
Learn more about Circle:
https://brainly.com/question/11833983
