Stadium (geometry)

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

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 used for athletics and horse racing tracks.

Formulas[edit]

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[edit]

References[edit]

  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. ^ 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. Retrieved 2016-04-29. 
  5. ^ "Stadium Calculator". Calculatorsoup.com. Retrieved 2013-01-31.