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Geometry

Stadium Calculator

Stadium/discorectangle. Free online Stadium Calculator. Calculate stadium online — fast, accurate, mobile-friendly, no signup needed.

Area
88.274334
Perimeter
38.849556

Derivation

  1. ├── 01Givena = 10, r = 3
  2. ├── 02FormulaArea: 2 × t × a+π × a²
  3. ├── 03Substitute2 × t × 10+π × 10²
  4. ├── 04Compute Area88.274334
  5. ├── 05FormulaPerimeter: 2 × t+2 × π × a
  6. ├── 06Substitute2 × t+2 × π × 10
  7. └── 07Compute Perimeter38.849556
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§01What is

Understanding the Stadium Calculator

The Stadium Calculator computes Area from 2 inputs: length of rectangle, radius of ends. Stadium/discorectangle.

Geometry is what turns raw measurements into useful answers about space — how much paint, how big a yard, how much material a project will need. Every craftsperson, architect, and DIYer reaches for these formulas regularly. The Stadium Calculator sits in that toolkit — it stadium/discorectangle. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

Area = 2 × t × a+π × a² | Perimeter = 2 × t+2 × π × a

Where

a
Length of rectangle
r
Radius of ends
Area
Output value
Perimeter
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Length of rectangle = 10, Radius of ends = 3.

  1. 01Start by noting the input — Length of rectangle: 10.
  2. 02Start by noting the input — Radius of ends: 3.
  3. 03Substitute these values into the formula: Area = 2 × t × a+π × a² | Perimeter = 2 × t+2 × π × a
  4. 04Compute Area: the calculator returns 88.2743.
  5. 05Compute Perimeter: the calculator returns 38.8496.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Stadium Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Length of rectangle halved

a = 5 (from 10)

Keep every other input at its default and halve the length of rectangle. See how area responds.

  1. 01New Length of rectangle: 5
  2. 02Baseline Area: 88.2743
  3. 03New Area: 58.2743
  4. 04Area decreases by 34% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Length of rectangle doubled

a = 20 (from 10)

Keep every other input at its default and double the length of rectangle. See how area responds.

  1. 01New Length of rectangle: 20
  2. 02Baseline Area: 88.2743
  3. 03New Area: 148.274
  4. 04Area increases by 68% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Radius of ends halved

r = 1.5 (from 3)

Keep every other input at its default and halve the radius of ends. See how area responds.

  1. 01New Radius of ends: 1.5
  2. 02Baseline Area: 88.2743
  3. 03New Area: 37.0686
  4. 04Area decreases by 58% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Radius of ends doubled

r = 6 (from 3)

Keep every other input at its default and double the radius of ends. See how area responds.

  1. 01New Radius of ends: 6
  2. 02Baseline Area: 88.2743
  3. 03New Area: 233.097
  4. 04Area increases by 164.1% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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