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Annulus Calculator

Instantly compute the area, circumferences, and width of any circular ring online.

Your Variables

Unit
Unit

Result Summary

Width (w) • Outer Circ. (U₁) • Inner Circ. (U₂)

w: -- | U₁: -- | U₂: --

Ring Area (A)

0.00

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Mathematical Steps:

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Important Note: These results serve as an educational reference guide without absolute guarantees.

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How to calculate an annulus

1

Step 01

Enter Outer Radius

Input the outer radius (R) of the circular ring.

2

Step 02

Enter Inner Radius

Input the inner radius (r) of the circular cutout.

3

Step 03

Review Results

Instantly get the exact ring area, outer/inner circumferences, and width.

4

Step 04

Check Math Steps

Expand the details to review the mathematical formula breakdown.

Formula Overview

Table showing formulas for area, circumferences, and width of an annulus
PropertyFormulaDescription
Ring Area (A)A = π · (R² - r²)Area between the two concentric circles.
Ring Width (w)w = R - rRadial thickness of the ring.
Outer Circ. (U₁)U₁ = 2 · π · RCircumference of the outer circle.

Tips for Accurate Calculations

1. Check R > r

The outer radius (R) must always be greater than the inner radius (r).

2. Measurement Units

Keep measurement units consistent for both radii.

3. Practical Use

Great for pipe cross-sections, washers, gaskets, and ring layouts.

Legal Disclaimer: Calculators serve as educational reference guides.

Frequently Asked Questions

What is an annulus?

An annulus is a ring-shaped object, a region bounded by two concentric circles sharing the same center point.

How do you calculate annulus area?

Subtract the area of the inner circle from the area of the outer circle: A = π(R² - r²).

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