Annulus Area

Ring area, width, and circumferences.

Area π(R²−r²), width R−r, outer/inner circumferences. Outer ≥ inner ≥ 0. Unlike Circle this is a hollow ring.

What Annulus Area does

Area π(R²−r²), width R−r, outer/inner circumferences. Outer ≥ inner ≥ 0. Unlike Circle this is a hollow ring.

Annulus Area sits in the Calculate group on purpose. It is not Circle Calculator (Area from radius, diameter, or circumference.) and not Ellipse Calculator (Area, Ramanujan perimeter, and eccentricity.). Choose this page when you need Ring area, width, and circumferences. If you stretch Annulus Area into a neighbor’s job, the result will look wrong even though the site chrome looks the same.

How to use Annulus Area

  1. Confirm you need Annulus Area, not Circle Calculator (Area from radius, diameter, or circumference.). Address: /annulus.
  2. Enter the numbers or dates Annulus Area uses. Ring area, width, and circumferences.
  3. Read the result as Annulus Area defines it — not as Ellipse Calculator (Area, Ramanujan perimeter, and eccentricity.). Area π(R²−r²), width R−r, outer/inner circumferences. Outer ≥ inner ≥ 0. Unlike Circle this is a hollow ring.
  4. Annulus Area is an estimate in the browser, not professional advice. Outer ≥ inner ≥ 0.
  5. Need a different formula? Try Ellipse Calculator (Area, Ramanujan perimeter, and eccentricity.) instead of stretching Annulus Area.

When not to use Annulus Area

Skip Annulus Area when a neighbor tool matches better — start with Circle Calculator or Ellipse Calculator — or when the description already warns the job will fail. In the tool’s own words: Area π(R²−r²), width R−r, outer/inner circumferences. Outer ≥ inner ≥ 0. Unlike Circle this is a hollow ring.

Questions about Annulus Area

What does Annulus Area do that other Calculate pages on this site do not?
Area π(R²−r²), width R−r, outer/inner circumferences. Outer ≥ inner ≥ 0. Unlike Circle this is a hollow ring. Short version: Ring area, width, and circumferences.
Does Annulus Area upload my file or text to Tool-You servers?
No. Annulus Area runs in this browser tab. Files stay on the device. Limit note: Outer ≥ inner ≥ 0.
Should I use Circle Calculator instead of Annulus Area?
Use Annulus Area when you need Ring area, width, and circumferences. Use Circle Calculator when you need Area from radius, diameter, or circumference. They share a category (Calculate) but not the same job.
What are the limits of Annulus Area?
Outer ≥ inner ≥ 0. Also: Area π(R²−r²), width R−r, outer/inner circumferences. Outer ≥ inner ≥ 0. Unlike Circle this is a hollow ring.