Stadium (geometry)

The bottom of this common plastic basket is stadium-shaped.

A stadium is a two-dimensional geometric shape constructed of a rectangle with semicircles at a pair of opposite sides.[1] Alternative names include discorectangle[2] and obround.[3][4]

A capsule is produced by revolving a stadium around the line of symmetry that bisects the semicircles.

The shape is based on a stadium, a place used for athletics and horse racing tracks.

Formulas

The perimeter of a stadium is calculated by the formula and the area by where a is the length of the straight sides and r is the radius of the semicircles.[5]

See also

References

  1. ↑ "Stadium - from Wolfram MathWorld". Mathworld.wolfram.com. 2013-01-19. Retrieved 2013-01-31.
  2. ↑ Dzubiella, Joachim; Matthias Schmidt; Hartmut Löwen (2000). "Topological defects in nematic droplets of hard spherocylinders". Physical Review E. 62: 5081. arXiv:cond-mat/9906388. Bibcode:2000PhRvE..62.5081D. doi:10.1103/PhysRevE.62.5081.
  3. ↑ Ackermann, Kurt. "Obround - Punching Tools - VIP, Inc". www.vista-industrial.com. Retrieved 2016-04-29.
  4. ↑ "Obround Level Gauge Glass : L.J. Star Incorporated". L.J.Star Incorporated. Archived from the original on 2016-04-22. Retrieved 2016-04-29.
  5. ↑ "Stadium Calculator". Calculatorsoup.com. Retrieved 2013-01-31.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.