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Smaller Circles In Larger Circle

Reference data and engineering information about smaller circles in larger circle for miscellaneous applications.

smallercircleslargercircle

Overview

Engineering reference data for Smaller Circles In Larger Circle in miscellaneous.

Key Formulas

Unit Conversion

y=x⋅ky = x \cdot k

Multiply by conversion factor.

Linear Interpolation

y=y1+(x−x1)(y2−y1)x2−x1y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}

Estimate between two known points.

Percentage

p=partwhole×100%p = \frac{\text{part}}{\text{whole}} \times 100\%

Part as fraction of whole.

Variables

Symbol Description Unit
xx Input value —
yy Output value —
kk Conversion factor —

Applications

The circle packing calculator can be used for various engineering and industrial applications, including estimating:

  • The number of small pipes that fit into a large pipe or tube.
  • The number of wires possible in a conduit.
  • The number of fibers that fit in a connector.

Iterative Method for Bundle Diameter

The outside diameter of a pipe bundle can be approximated by iteratively adjusting the large pipe diameter input until the calculated number of pipes matches the desired bundle count. The following table shows an example iteration for 30 pipes with a 1.5-inch diameter.

ANSI Schedule 40 Steel Pipe Reference Data

This table provides the maximum number of smaller circles (based on outside diameter) that can fit inside larger circles (based on inside diameter) for selected ANSI Schedule 40 Steel Pipes.

Interactive Charts

References