Question

Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers?
(1) The lawn is rectangular and its area is 32 square yards.
(2) Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.

Answer 1

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.