Annulus Area Calculator

Calculate the area of an annulus from its outer and inner radii as π(R²−r²).

Description

Calculate the area of an annulus from its outer and inner radii as π(R²−r²).

Annulus Area Calculator: Calculate the area of an annulus from its outer and inner radii as π(R²−r²).

When to use Annulus Area

Use this geometry calculation when the shape, dimensions, coordinate system, and units match the stated ideal Euclidean model.

Outer radius (m)
Outer radius of the ring.
Inner radius (m)
Inner radius of the hole.

How Annulus Area works

Calculate the area of an annulus from its outer and inner radii as π(R²−r²). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Area
The resulting area returned as a number.

Limitations and assumptions

  • The result assumes exact idealized geometry. Measurement uncertainty, rounded inputs, nonplanarity, self-intersection, thickness, curved coordinate systems, and ambiguous dimension definitions are not automatically represented.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Sketch and label the dimensions, verify unit consistency, and use coordinate or CAD methods for irregular measured shapes.

References

  1. Circle — Wikipedia contributors

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