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.e  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 .
Related Topics

Electrical
Electrical units, amps and electrical wiring, wire gauge and AWG, electrical formulas and motors. 
Mathematics
Mathematical rules and laws  numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents

ANSI Schedule 40 Steel Pipes  Dimensions
Internal and external diameters, areas, weights, volumes and number of threads for ANSI schedule 40 steel pipes. 
Area Units Converter
Convert between units of area. 
ASME/ANSI B36.10/19  Carbon, Alloy and Stainless Steel Pipes  Dimensions  Metric Units
Pipe sizes, inside and outside diameters, wall thickness, schedules, weight and weight of pipe filled with water  Metric Units. 
AWG  American Wire Gauge Current Ratings
Amp ratings vs. US AWG wire gauges. 
AWG  American Wire Gauge vs. Circular Mils
AWG vs. diameter mil, circular mil, diameter in mm and area in mm^{2}. 
Circle  Equation
The equation for a circle 
Circle  the Chord Lengths when Divided in to Equal Segments
Calculate chord lengths when dividing the circumference of a circle into an equal number of segments. 
Circles  Circumferences and Areas
Circumferences and areas of circles with diameters in inches. 
Circles Outside a Circle
Calculate the numbers of circles on the outside of an inner circle  like the geometry of rollers on a shaft. 
Circles within a Rectangle  Calculator
Calculate the maximum number of circles within a rectangle  can be used to calculate the numbers of pipes or wires in a conduit or similar. 
Copper and Aluminum Wire  Max Amps vs. Gauge
Maximum current in copper and aluminum wire. 
Discrete Data Sets and their Mean, Median and Mode Values
Calculate the arithmetic mean, median and modal values from discrete data sets. 
Elementary Curves
Ellipse, circle, hyperbola, parabola, parallel, intersecting and coincident lines. 
Elementary Surfaces
Ellipsoid, sphere, hyperboloid, cone and more. 
Equal Areas  Circles vs. Squares
Radius and side lengths of equal areas, circles and squares. 
ISO 4427  PE Pipes for Water Supply  Dimensions
Polyethylene pipe dimensions according European Standards. 
Smaller Rectangles within a Larger Rectangle
The maximum number of smaller rectangles  or squares  within a larger rectangle (or square). 
Solving Equations of the First Degree with One Unknown
Equations with one unknown. 
Solving First Degree Equations with Two Unknowns
Online calculator and solbing procedure for two equations with two unknowns. 
Solving Quadratic Equation with One Unknown
How to solve a quadratic equation. 
Squaring with Diagonal Measurements
A rectangle is square if the lengths of both diagonals are equal.