Question

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1,519.76 square feet? Use 3.14 for Pie

Answer 1

22 ft

Explanation:

The sprinkler is located in the middle of the circular pattern created by the sprinkler therefore the distance from the center to the end of the circular pattern is called the RADIUS

note:

area of a circle =
`\pi`
`r^(2)`

1519.76 = 3.14 *
`r^(2)`

therefore
`r^(2)` = 1519.76 / 3.14 = 484

therefore radius ( r ) =
`√(484)` = 22 ft

The sprinkler is 22 feet away from the spread water

Answer 2

r = 22 ft the sprinkler sends water until 22 feet away

Explanation:

A circular pattern has an area of 1,519,76 ft²

And the areaof a circle is:

A(c) = π*r²

A(c) = 3,14 * r² ⇒ 1,519,76 = 3,14 * r²

r² = 1,519,76/3,14 ⇒ r² = 484

r = √484

r = 22 ft