Finding Equations for Circular Irrigation System

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In summary, the conversation discusses a program for calculating the area of a rectangular piece of land and the largest circle that can fit within it. The program also helps determine the acreage of the property, farmable area, and non-farmable area. The equation for the total area is W*L, and the largest circle has a radius of Min[W,L]/2. The program also allows for adding more circles to the farmable land.
  • #1
XodoX
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Hello guys!

I'm looking for some equations I need for a program I have to create.

In the mid-west many farmers irrigate from a well near
the center of a piece of land using a circular
irrigation system. The farmer plans on farming an
almost square (but it is a rectangle) piece of
property and needs to know some answers for planning.

This program is to get two measurements for a rectangular
piece of property. The measurements will be in feet,
and should be identified with variables named length
width. The program is to calculate the area in square
feet of the rectangle and the largest circle that could
fit into the rectangle.

The farmer wants to know the acreage of:

1. the property
2. the farmable area
3. the non-farmable area

The rectangular area is easy.. side a x b. How do I get the equation for how many circles could fit in the rectangular area?
 
Last edited:
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  • #2
THis dosen't seem so bad.

Total area = W*L
The biggest circle is of radius Min[W.L]/2
Where the Min function picks the smaller number. THat gives.
Pi(Min[W.L]/2)^2 area of farmable land.
 
  • #3
And you want to put more circles in? Well you would slam that largest circle up against one side.
 

What is a circular irrigation system?

A circular irrigation system is a type of irrigation system in which water is distributed in a circular pattern, usually from a central pivot point. This allows for efficient and uniform watering of crops or plants.

Why is it important to find equations for a circular irrigation system?

Finding equations for a circular irrigation system allows for precise calculations of water usage, distribution, and application rate. This can help optimize water usage and ensure that crops or plants receive the necessary amount of water.

What factors are important to consider when finding equations for a circular irrigation system?

Some important factors to consider when finding equations for a circular irrigation system include the size and shape of the area to be irrigated, the type of soil and crops/plants, and the available water supply. Other factors such as climate and topography may also play a role.

How can I determine the appropriate equations for my specific circular irrigation system?

The equations used for a circular irrigation system will depend on the specific characteristics and needs of the system. It is best to consult with a qualified irrigation specialist or engineer who can analyze your system and make recommendations for the most appropriate equations.

Are there any resources available for finding equations for circular irrigation systems?

Yes, there are many resources available for finding equations for circular irrigation systems. These may include online calculators, software programs, or publications from irrigation organizations or companies. It is important to ensure that the resources used are reputable and applicable to your specific system.

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