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] An alternate name for this shape is a discorectangle.[2]

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 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.[3]

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. ^ "Stadium Calculator". Calculatorsoup.com. Retrieved 2013-01-31.