A stadium shape (racetrack oval) is a rectangle with a semicircle on each end.
About this calculator
A stadium shape (racetrack oval) is a rectangle with a semicircle on each end. Enter the straight length a and semicircle radius r.
Example: a = 100, r = 30 gives area = π(30)² + 2(30)(100) ≈ 8827.43 square units and perimeter = 200 + 60π ≈ 388.5 units.
Use this for running tracks, pill-shaped rooms, and oblong fields. When straight length is zero the shape is a circle. Link to [[capsule]] for 3D pill shapes and [[rectangle]] for the flat middle section alone.
Common uses
- Running track or athletics oval area
- Pill-shaped room floor area
- Oblong garden or field perimeter for fencing
- Stadium-shaped pool deck material estimates
Frequently asked questions
What is the area of a stadium with straight length 100 and radius 30?
A = πr² + 2ra = 900π + 6000 ≈ 8827.43 square units. Perimeter = 200 + 60π ≈ 388.5 units.
What if straight length is zero?
The shape becomes a circle with area πr² and circumference 2πr.
Is a stadium the same as a capsule?
In 2D, yes — both are rectangle plus two semicircles. A capsule in 3D adds height to make a pill-shaped solid.
Which side is the straight length?
It is the distance between the two semicircular ends along the parallel straight edges, not including the curved parts.