Question

A square lawn has area 200 ft squared. a sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. what is the radius

Answer 1

To find the radius of the circular pattern created by the sprinkler, take the side length of the square lawn (which is the same diameter as the circular pattern) and divide it by 2.

Step-by-step explanation:

To find the radius of the circular pattern created by the sprinkler, we need to determine the side length of the square lawn.

Since the area of the square is 200 ft², we can find the side length by taking the square root of the area. Therefore, the side length of the square lawn is √200 ft.

Since the sprinkler just covers the lawn, the diameter of the circular pattern will be equal to the side length of the square lawn.

We can find the radius by dividing the diameter by 2. So, the radius of the circular pattern created by the sprinkler is (√200 ft) / 2.

Answer 2

The radius will equal half of the length of a side of the square.

The length of the side for this square lawn = √200 so the radius will be 1/2 * √200.

Answer 7.07 feet (to nearest hundredth.