Maths & numbers

Annulus calculator

Find the area, ring width and boundary lengths of a circular ring.

Annulus calculator
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A clear answer. Here’s how.

Requires 0 ≤ inner radius ≤ outer radius. Ring area = π(R−r)(R+r), width = R−r, and the two boundary lengths are 2πR and 2πr. Uses one consistent input length unit; area is in its square.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Outer radius
5
Inner radius
3

Example result

Ring area
50.2654824574
Radial ring width
2
Outer circumference
31.4159265359
Inner circumference
18.8495559215
Combined boundary length
50.2654824574