Area of a Ring (Annulus) Calculator

Easily calculate the area of a ring (annulus) by entering the outer and inner radii. Get instant results and visualize the ring.

Calculate Area

Enter the outer and inner radii to calculate the area of the ring. The formula used is shown below:

Outer Radius (R)

Enter the radius of the outer circle.

Inner Radius (r)

Enter the radius of the inner circle.

Result

Area of Ring:

Ring Visualization

Visual representation of the ring based on the radii you provided.

Outer Radius (R):

Inner Radius (r):

Understanding Area of a Ring (Annulus)

In geometry, an annulus (plural annuli or annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a doughnut. The word "annulus" is Latin for "little ring".

The area of an annulus is the difference in the areas of the larger outer circle and the smaller inner circle. If R is the radius of the outer circle and r is the radius of the inner circle, the area of the annulus is given by the formula:

`$$ Area = \pi R^2 - \pi r^2 = \pi (R^2 - r^2) $$`

This calculator helps you quickly find the area of a ring by simply inputting the outer and inner radii. It's useful in various applications, from calculating the cross-sectional area of pipes to designing circular structures with a hollow center.

Source: Wikipedia