Question

The spray from a spinning lawn sprinkler covers an area of 625 square feet. What is the radius of the circle covered by the lawn sprinkler? If Andrew is standing 30 feet away from the sprinkler will he get wet?

Answer 1

Explanation:

Answer 2

First find out the what is the radius of the circle covered by the lawn sprinkler .

To prove

Formula

`Area\ of\ circle = \pi r^(2)`

Where r is the radius of the circle.

As given

The spray from a spinning lawn sprinkler covers an area of 625 square feet.

Put in the formula

`\pi = 3.14`

`625 = 3.14* r^(2)`

`r^(2) = 199.1`

`r = √(199.1)`

r = 14.11 feet (Approx)

Thus the radius of the circle covered by the lawn sprinkler is 14.11 feet.

Now find out If Andrew is standing 30 feet away from the sprinkler will he get wet .

As the radius of the circle covered by the lawn sprinkler is 14.11 feet.

This means the spray from a spinning lawn sprinkler covers only 14.11 feet distance which far away from the 30 feet .

No, Andrew is standing 30 feet away from the sprinkler will not get wet .