Answer:
11 feet away.
Step-by-step explanation:
Given:
A water and sprinkle our sins water out in a circular pattern
Area formed by the watering pattern is 379.94 square feet
To find:
How many feet away can it spread water means we have to find distance from the middle point to the last end of circular pattern of water sprinkling (radius of a circle) = ?
solution:
By using ,Area of a circle = [tex]\pi r^{2}[/tex]
Area of a circle = 379.94 square feet (given)
[tex]\pi r^{2}[/tex] = [tex]379.94[/tex]
[tex]3.14\times r^{2} = 379.94\\[/tex]
Dividing both side by 3.14
[tex]r^{2} = \frac{379.94}{3.14} = 121[/tex]
Taking square root both side
[tex]r = \sqrt[2]{11\times11}[/tex] (Taking common)
[tex]r = 11[/tex]
Therefore, radius = 11
Thus, it can spread water 11 feet away.
