An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. the yard has 3 sprinkler head

Question

2 years ago

6

s 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

2 answers:

Illusion [34] · Answer 1 · 2023-09-27T11:20:42+03:00

8 0

Answer:

D

Step-by-step explanation:

just answered it

frutty [35] · Answer 2 · 2023-09-27T09:46:51+03:00

Answer:

Option D. 5890.5 feet²

Step-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 feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²