Respuesta :
Answer:
Approximate Total area that will be watered is 5887.5 feet²
Step-by-step explanation:
Radius of the Circular area that sprinkler cover , r = 25 feet
Number of sprinkler = 3
Area covered by 1 sprinkler = Area of circle
= πr²
= 3.14 × (25)²
= 3.14 × 625
= 1962.5 feet²
Area covered by 3 sprinkler = 3 × 1962.5 = 5887.5 feet²
Therefore, Approximate Total area that will be watered is 5887.5 feet²
The approximate total area that will be watered will be 5887.5 feet². Square centimeters and other similar units are used to measure area.
What is the area?
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
The given data in the problem is;
r is the radius of the Circular area that sprinkler cover = 25 feet
n is the number of sprinklers = 3
The sprinkler executes a circular motion ;
Area covered by sprinkler = Area of the circle
The area covered by sprinklers is found as;
[tex]A_S = \pi r^2 \\\\ A_S = 3.14 \times (25)^2 \\\\\ A_S = 3.14 \times 625 \\\\ A_S= 1962.5 \ feet^2[/tex]
The area covered by the three sprinklers will be;
[tex]\rm A_S = 3 \times 196.25 \\\\ \rm A_S =5887.5 \ feet^2[/tex]
Hence approximate total area that will be watered will be 5887.5 feet².
To learn more about the area refer to the link;
https://brainly.com/question/11952845
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