Stadium (geometry)

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Stadium geometry.svg
A common stadium-shaped plastic basket

A stadium is a geometric shape constructed of a rectangle with semi-circles at a pair of opposite sides.[1] An alternate name for this two-dimensional shape is a discorectangle.[2]

The shape is used for athletics and horse racing tracks.

Formulas[edit]

The perimeter P of a stadium is P = 2 (\pi r+a) and the area A is A = \pi r^2 + 2ra [3]

(In these formulas a represents the length of the straight sides and r the radius of the semicircles.)


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, and 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.