Stadium Calculator

A Stadium is a two dimensional geometric shape consisting of a rectangle with semicircles at each end

It is also known as a Discorectangle

A Capsule is the three dimensional version of a stadium shape. You can use the Capsule Calculator here for three dimensional calculations.

Stadium Shape

Stadium shape Calculator: This image shows a stadium shape with associated calculations used by the Stadium shape Calculator

Dimension Value Comments
r (Radius) Changing the radius affects the height and overall length
Height Changing the height affects the radius and overall length
a (Straight Sides) Changing the length of the sides affects the overall length
Overall Length Changing the overall length affects the length of the sides
Area The area of the shape (in square units)
Perimeter The outer edge of the shape

You can refine the calculations by controlling the number of decimal places that the calculator calculates to. The default is 2 decimal places.

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This calculator includes the following algorithms:

Height = 2r (2 x radius)

Overall length = 2r+a (radius x 2 plus length of straight sides)

Area = π x r2 + 2ra (area of a circle formed by the two semicircles plus area of rectangle formed by length a x height)

Perimeter = 2(πr + a) (circumference of a circle formed by the two semicircles plus length of both sides[a] )

π = 3.141592654 to 9 decimal places

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