Annulus Calculator
A = π(R² − r²) — ring between two concentric circles
An annulus (ring) is the region between two concentric circles — an outer circle of radius R and an inner circle of radius r. It appears in engineering (pipe cross-sections), design, and optics.
- 1Determine the outer radius R and inner radius r
- 2Area = π(R² − r²)
- 3Outer circumference = 2πR, inner circumference = 2πr
- 4Width of the ring = R − r
R=10, r=6=Area = 201.06 units²π(100−36) = 64π
R=5, r=3=Area = 50.27 units²π(25−9) = 16π
| Property | Formula |
|---|---|
| Area | A = π(R² − r²) |
| Outer circumference | C₁ = 2πR |
| Inner circumference | C₂ = 2πr |
| Width | w = R − r |
References
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