Capsule Perimeter Calculator
Find stadium shape perimeter and area from radius and straight length
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Capsule Perimeter Formula
P = 2πr + 2a
A capsule perimeter combines the two straight sides with the arcs from two semicircles. The arcs together make one full circle, giving the 2πr term.
⚠ Radius and straight length must be positive. The straight length is not the full overall length of the capsule.
How Capsule Perimeter Works
The two rounded ends combine into a complete circle boundary. Add that circular boundary to the two straight segments to get total perimeter.
Radius
Controls the rounded end size.
Straight Length
Length of each straight side.
Circular Part
Two half arcs form one circle.
Area Check
The tool also reports capsule area.
💡 Example: For r=3 and a=10, P=2π(3)+2(10)=38.85 and area=88.274.
Applications of Capsule Perimeter
Running Tracks
Rounded Slots
Stadium Layouts
Border Design
Frequently Asked Questions
What is a capsule perimeter calculator?▼
It calculates the boundary length of a stadium or capsule shape.
What is the capsule perimeter formula?▼
The formula is P = 2πr + 2a, where r is radius and a is the straight length.
How do I use this calculator?▼
Enter the end radius and straight middle length, then click Calculate.
Is straight length the full capsule length?▼
No. It is only the straight section between the two rounded ends.
Where is capsule perimeter used?▼
It is used for tracks, rounded slots, stadium layouts, border lengths, and design geometry.
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