Girish Mahajan (Editor)

Stadium (geometry)

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Stadium (geometry)

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

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 ( π r + a ) and the area by A = π r 2 + 2 r a = r ( π r + 2 a ) , where a is the length of the straight sides and r is the radius of the semicircles.

References

Stadium (geometry) Wikipedia