Area of the Arbelos

Archimedes (287 BC) proved that the shaded area (known as the arbelos, which means the shoemaker's knife) is equal to the area of the red circle with diameter BC. Note that BC is perpendicular to AD. The radii of the semicircles with diameters AB and BD are and , respectively.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

RELATED LINKS

    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.