Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Circles and Squares - Equal Areas

Radius and side lengths of equal areas, circles and squares

Sponsored Links

Circles and Squares with equal areas

The area of a circle can be expressed as

Ac = π r2                             (1)

where

Ac = circle area (m2, ft2)

r = circle radius (m, ft)

The area of a square can be expressed as

As = s2                                 (2)

where

As = square area (m2, ft2)

s = side of square (m,ft)

If the area of the circle is equal to the area of the square - then Ac = As and (1) and (2) can be combined to

π r2 = s2                             (3)  

Radius of Circle - Side of Square is known

r = (s2/ π)1/2                              (4)

Side of Square - Radius of a Circle if known

s = (π r2)1/2                               (5)

Example - Circle and Square with equal Area

The side length of a square with the same area as a circle with radius 2 m can be calculated as

s = (π (2 m)2)1/2   

  = 3.54 m

Sponsored Links

Related Topics

Related Documents

Tag Search

  • en: circle square area diameter sides
  • es: lados diámetro de área cuadrada círculo
  • de: Kreis quadratische Fläche Durchmesser Seiten
Sponsored Links

Search the Engineering ToolBox

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

Translate this page to
About the Engineering ToolBox!
.

close

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Scientific Online Calculator

Scientific Calculator

1 15

Sponsored Links