Question

A lawn sprinkler sprays water 5 feet in every direction as it rotates. What is the area of the sprinkled lawn?

Answer 1

So if the lawn sprinkler rotates in a circular motion, then what you're left with is a circle with a radius of 5 feet. You can then just use the formula Area = π × radius^2 to do π × 5^2 = 25π = 78.5 feet^2. I hope this helps!

Answer 2

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.