Question
3 Salam orders a center pivot irrigation system to water his fields. The system is
made up of a line of connected pipes that turn around a center point. Salam’s
system will be
a. What is the longest distance across the space the system will water?
Show your work.
made up of a line of connected pipes that turn around a center point. Salam’s
system will be
a. What is the longest distance across the space the system will water?
Show your work.
Ask by Peters Knight. in the United States
Jan 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The longest distance across the space the system will water is 2,300 feet.
Solution
To find the longest distance across the space that the center pivot irrigation system will water, we need to determine the diameter of the circular area that the system can cover. The length of the system represents the radius of the circle.
-
Identify the known condition:
- The length of the irrigation system is
ft. This length represents the radius of the circular area.
- The length of the irrigation system is
-
Calculate the diameter:
- The diameter
of a circle is given by the formula: - Substituting the known value of the radius:
- The diameter
Now, let’s perform the calculation.
Thus, the longest distance across the space that the system will water is
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find the longest distance across the space the center pivot irrigation system will water, we need to determine the diameter of the circular area it covers. The length of the system is the radius when it is fully extended. Here, the length is
- Find the diameter: The diameter
is twice the radius .
Therefore, the longest distance across the space the system will water is 2,300 feet.
Remember, in the world of agriculture, efficiency shines through! A well-installed center pivot system can efficiently water large areas, saving both water and time for farmers like Salam!
