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? 1963.5 ft 1963.5 ft² 5890.5 ft 5890.5 ft²

Answer:Option D. 5890.5 feet²Step-by-step explanation:An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.Yard has three sprinkler heads that each cover circular area with no overlap.We have to calculate the approximate area watered by these 3 sprinkler heads.Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²which matches the approximate value of Option D. 5890.5 feet²