Answer:
113.097 square meters
Step-by-step explanation:
First, let's take a moment to visualize the information in this problem. Assuming the sprinkler has full range of motion, this would mean the area covered by the water would form a circular shape, with the sprinkler as the center.
Using this information, we also know that the 6 m of water sprayed by the sprinkler is equal to the radius of the circle. In order to find the area of the shape, we will use the formula for the area of a circle:
A = pi(r^2)
Filling in our known radius, we have:
A = pi(6^2) = pi(36) = 113.097 square meters
Hope this helped!
