Question

9.6.PS-14 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 530.66 square​ feet? Use 3.14 for pi

Answer 1

The sprinkler can spread the water 13 feet away from it.

Solution:

Given that,

The area formed by the watering pattern is 530.66 square​ feet

The area of circle is given as:

$Area = \pi r^2$

Where, "r" is the radius

$530.66 = 3.14 \times r^2\\\\r^2 = \frac{530.66}{3.14}\\\\r^2 = 169\\\\r = 13$

Thus radius is 13 feet

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.

So the sprinkler can spread the water 13 feet away from it.