Stadium (geometry)

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File:Plastic laundry basket.jpg
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]

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.[5]

See also

References

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