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 379.94 square feet?​

Answer 1

Answer:

11 feet

Step-by-step explanation:

Area formed by the watery pattern is 379.94 square feet.

Since the water is being sent out in circular pattern, the maximum distance at which the water is reaching out will be equal to the radius of the circle as the sprinkler is at the center of the circle.

Area of a circle is given as:

$Area=\pi r^{2}\\\\ 379.94 = \pi r^{2}\\\\r^{2}=\frac{379.94}{\pi}\\\\ \text{Using pi equal to 3.14, we get}\\\\ r^{2}=121\\\\ r = 11$

This means the radius of the circular pattern being formed is 11 feet. So the sprinkler can spread the water 11 feet away from it.