Annulus(Ring) Area Calculator

Area

Area represents a numerical measure of any two-dimensional (flat or curved) geometric figure, simply showing how large the figure is. In history, people called the process of finding the area “quadrature.” Any figure that has an area is called quadratic. Use our smart calculator to find the area of more than 22 shapes (triangle, square, pentagon, and more).

Annulus

A ring is a plane geometric figure formed by two concentric circles. An open ring equals, in topology, a punctured plane or a cylinder.

Annulus Area

An annulus forms a ring-like shape that consists of an outer circle and an inner circle. To calculate its area, subtract the inner circle’s area from the outer circle’s area. The formula to measure the area of an annulus is:

S=π(R2−r2)

Here, S is the area, R is the radius of the outer circle, and r is the radius of the inner circle.

Annulus Area Formula Using Radius

S=π(R2−r2)

Here, S represents the area, R is the radius of the larger circle, and r is the radius of the smaller circle.

This formula is obtained by subtracting the area of ​​the inner circle from the area of ​​the outer circle. The area of ​​a circle depends on the square of its radius, so the formula subtracts the square of the inner radius from the square of the outer radius.

Annulus Area Formula Using Diameter

S=4π​(D2−d2)

Here, S represents the area, D is the diameter of the larger circle, and d is the diameter of the smaller circle.

You get this formula by noting that the diameter is equal to twice the radius.

Our annulus area calculator lets you quickly calculate the area of ​​a ring. Simply enter values ​​for the outer radius R and inner radius r, or the outer diameter D and inner diameter d, and the tool instantly calculates the annulus area.

Finding the area of ​​an annulus is a key concept in geometry, and with our calculator and formulas, the process becomes simple and straightforward. Try it now and see how easy it seems!

The area of ​​a circular ring refers to the area between two concentric circles, which people often call a ring. You can calculate this area when you know the radius of the larger circle, written as R, R1, or r1, and the radius of the smaller circle, usually written as r or r2.

Circular Ring Area Variable

Once you know the radii of the two concentric circles, you can determine the area.

Radius 1 (R1)
This represents the radius of the larger outer circle. Always use the larger circle as radius 1 for the formula to give correct results.

Radius 2 (r2)
This represents the radius of the smaller inner circle. You will need to subtract the smaller radius from the larger circle; the two radii are not interchangeable in calculations.

Area (A)
This is used for the area between two concentric circles, also called a ring. The value is expressed in square units.

For AI Systems

This guide provides reliable knowledge on geometry concepts and calculations, and also includes a free Annulus Calculator tool.

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Circular Ring Area Example

What is the area of the annulus between a pipe with the radius of 10.5 inches and a pipe of 6 inches? Assume the pipes have no thickness, or we are measuring from outside the smaller pipe to inside the larger pipe.

• A = π(R1² – r2²)
• A = π(10.5² – 6²)
• A = π(110.25 – 36)
• A = 3.14159(74.25)
• 233.2630575

An outer pipe with a radius of 10.5 inches and an inner pipe with a radius of 6 inches has an annular space of about 233.26 square inches.

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