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][5][6]

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

The shape is used for athletics and horse racing tracks.

Formulas

The perimeter of a stadium is calculated by the formula P = 2 (\pi r+a) and the area by A = \pi r^2 + 2ra = r(\pi r + 2a), where a is the length of the straight sides and r is the radius of the semicircles.[7]

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. doi:10.1103/PhysRevE.62.5081.
  3. ↑ http://www.vista-industrial.com/obround.php
  4. ↑ http://www.ljstar.com/Products/industrial-sight-glass-obround-level-gauges
  5. ↑ http://www.phelpsweb.com/phel1_16.htm
  6. ↑ http://www.turnertanks.com/HorizontalObround.html
  7. ↑ "Stadium Calculator". Calculatorsoup.com. Retrieved 2013-01-31.
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