We use cookies.This website uses essential cookies to operate core features. With your consent, we also use analytics cookies to understand traffic and improve the service. For more details, see our .
We use cookies.This website uses essential cookies to operate core features. With your consent, we also use analytics cookies to understand traffic and improve the service. For more details, see our .
Was this tool helpful to use?
Your feedback helps us make it better
Calculate the area of a standard track or stadium shape. Enter the straightaway length and radius for fast, accurate results.
Overview
Understand what the tool solves, how it works, and the boundaries of its data.
Here, “stadium” means a two-dimensional shape with two parallel straight sides and a matching semicircle at each end. The area is the middle rectangle plus the two semicircles, which combine into one circle. If a is the length of one straight section and r is the radius of either rounded end:
Area: A = 2ra + πr²
Perimeter: P = 2a + 2πr
The area formula follows from the rectangle formula and circle formula; OpenStax reviews both area relationships. The perimeter combines the two straight sides and the circumference of one full circle.
The tool displays both area and perimeter to four decimal places. It does not attach a unit label, so the units come from your inputs: feet produce square feet for area and feet for perimeter; meters produce square meters and meters.
Guide
Follow the workflow and verify inputs and outputs with practical examples.
Measure or read the straight section between the semicircular ends. This is a, not the shape’s overall length.
Enter the radius r of either end. If a drawing gives the full width instead, divide that width by two to get the radius.
Keep both values in the same unit. The area and perimeter update from the entered values; use Clear to restore the default dimensions.
For a reproducible check, enter a = 20 and r = 10. The rectangle contributes 400 square units, the rounded ends contribute 100π, and the total area is 714.1593 square units. The perimeter is 40 + 20π = 102.8319 units.
Use cases
See how the tool fits into real work and everyday tasks.
Separate the rectangle and circular parts to see why the area contains one πr² term, then compare your result with the displayed perimeter.
Use dimensions from a plan to estimate a regular capsule-shaped floor, pad, or enclosure before doing a more detailed takeoff.
For a simple design with straight middle sides and matching semicircle ends, estimate the enclosed plan area and boundary length.
Q&A
Find concise answers to common questions and confusing cases.
No. It is the middle straight run between the curved ends. Overall length equals that straight section plus one diameter, or a + 2r.
Do not mix units. The tool has no unit selector or automatic conversion, so convert one value first and use a consistent unit for both inputs.
It calculates only the ideal stadium-shaped region described by the two inputs. It does not add lanes, safety margins, seating, or other site features.
Notes
Review scope, result limitations, and important precautions before use.
The calculation assumes positive dimensions, straight parallel sides, and two matching semicircular ends. It does not model irregular boundaries, slopes, banking, lane widths, runoff zones, or construction tolerances. A four-decimal display is a numerical format, not a claim that field measurements are that precise. For purchasing materials or engineering work, verify dimensions and boundaries against the project drawings and applicable professional requirements.
Related
Discover related tools, collections, and available API capabilities.