Annulus Area
Annulus Area
\[A = \pi(R^2-r^2)\]
Variables
A = annulus area (m²)
R = outer radius (m)
r = inner radius (m)
Description
What is this formula?
This formula calculates the area of an annulus, which is the region between two concentric circles with different radii.
When to use it
Use this formula when the inner and outer radii of a ring-shaped region are known and the enclosed area needs to be determined.
Example
If the outer radius is 6 m and the inner radius is 3 m:
A = π(6² - 3²) = 84.823 m²
Applications
- Geometry and mathematics
- Mechanical and civil engineering
- Washer and gasket design
- Pipe and flange calculations
- Manufacturing and construction
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