Q:

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered?

Accepted Solution

A:
Answer:Approximate Total area that will be watered is 5887.5 feet²Step-by-step explanation:Radius of the Circular area that sprinkler cover , r = 25 feetNumber of sprinkler = 3Area covered by 1 sprinkler = Area of circle                                           = πr²                                           = 3.14 × (25)²                                           = 3.14 × 625                                           = 1962.5 feet²Area covered by 3 sprinkler = 3 × 1962.5 = 5887.5 feet²Therefore, Approximate Total area that will be watered is 5887.5 feet²