Answer:yes, the lawn can be watered completely by 4 installed sprinklers.
Step-by-step explanation:
The lawn is rectangular and its area is 32 square yards. Sprinklers are to be installed and each sprinkler waters in a circle. The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
If each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards., the the maximum area that can be watered by each sprinkler would be
Area = 3.14 × 2² = 12.56 yards²
If 4 sprinklers are completely installed, then the total area that they can water would be
12.56 × 4 = 50.24 yards²
Therefore, the lawn can be watered completely by 4 installed sprinklers.
