Smaller Circles within a Large Circle  Calculator
Calculate the number of small circles that fits into an outer larger circle  ex. how many pipes or wires fits into a larger pipe or conduit.
The calculator below can be used to estimate the maximum number of small circles that fits into an outer larger circle. The calculator can be used to calculate applications like
 the number of small pipes that fits into a large pipe or tube
 the number of wires possible in a conduit
 the number of fibers that fits in a connector
 and similar applications
Input
 the inside diameter of an outer larger circle (or pipe, tube, conduit, connector), and
 the outside diameters of small circles (or pipes, wires, fiber)
The default values are for a 10 inch pipe with 2 inch smaller pipes  dimensions according ANSI Schedule 40 Steel Pipes.
 Note that the algorithm is quite simple  a circle or more may be added by rearranging the circles in a more sophisticated pattern.
(enable popup)
Outside Diameter of a Bundle of Pipes
Tip!  the calculator above can be used to approximate the outside diameter of a bundle of pipes by inserting the small pipe diameter and do an iterative changing of the outside pipe diameter until the number of pipes calculated fits the number of pipes in the bundle.
Example  Outside diameter of a bundle with 30 pc. 1.5 inch pipes
The iterative process can be done like this:
Iteration No.  Input  Calculated  

Small Pipe Diameter  Large Pipe Diameter  No. of Pipes  
1  1.5  10  32 
2  1.5  9  26 
3  1.5  9.8  31 
4  1.5  9.6  29 
5  1.5  9.7  31 
6  1.5  9.65  30 
Iteration 6 indicates that the outside diameter of the bundle of pipes is approximately 9.65 inches.
Calculate Maximum Number of Smaller Circles in Larger Circles
 an array with multiple smaller and larger circles
In the boxes below
 add a comma separated list with the sizes of the larger circles
 add a comma separated list with the sizes of the smaller circles
An array with the maximum number of smaller circles within the larger circles will be created.
The default input values above are from ANSI Schedule 40 Steel Pipes.
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