Circles within a Rectangle

The maximum number of circles possible within a rectangle

The calculator below estimates the maximum number of circles that may fit in a rectangle. The calculator can be used to calculate

  • the number of pipes or wires that fits in a conduit and similar applications

Input the rectangle inside dimensions - height and width and the circles outside diameters.

Default values are for 0.5 inch circles inside a 10 inch x 10 inch square. The calculator is generic and any kind of units can be used - as long as the same units are used for all values.

rectangle width (in, mm, m)

rectangle height (in, mm, m)

circle diameter (in, mm, m)

space between circles - and between circles and rectangle walls (in, mm, m)

Rectangular Pattern

 

 

Triangular Pattern

 

 

Note!

  • Note that in some combinations of rectangular shapes and circles sizes - one or two more circles - an even more - may be added with a modified layout of the circles. In the default triangular example above - two more circles can be added in between if the left and right bottom circles are moved to the left and right border. The algorithm used for the calculation is quite simple and may underestimate the number of circles in some cases. 

Related Topics

  • Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more
  • Electrical - Electrical units, amps and electrical wiring, wire gauge and AWG, electrical formulas and motors
  • Dimensions - Sizes and dimensions of pipes and tubes, and their fittings - inside and outside diameter, weight and more

Related Documents

Tag Search

  • en: circles within rectangle rectangular triangular pattern
  • es: círculos dentro de rectángulo patrón triangular rectangular
  • de: Kreise innerhalb rechteckig dreieckigen Muster

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