An Annulus Area Calculator is a smart mathematical tool that helps you calculate the area of an annulus quickly and accurately. An annulus is the region between two concentric circles with different radii. Instead of doing manual calculations and risking mistakes, this calculator gives you instant and precise results with minimal input.
Whether you are solving geometry problems, working on engineering designs, or planning circular layouts, this calculator saves time and improves accuracy.
An annulus is a ring-shaped region formed between two circles that share the same center but have different radii. The larger circle defines the outer boundary, while the smaller circle creates the inner hole.
In simple terms, if you remove a smaller circle from the center of a larger one, the remaining area is called an annulus.
The area of an annulus is calculated by subtracting the area of the inner circle from the area of the outer circle.
Formula:
────────────────────────
Annulus Area = π (R² − r²)
────────────────────────
Where:
R = Radius of the outer circle
r = Radius of the inner circle
π ≈ 3.1416
This formula ensures accurate results for all valid inputs.Given:
Outer radius (R) = 10 units
Inner radius (r) = 6 units
Steps:
Square both radii:
R² = 100, r² = 36
Subtract inner square from outer square:
100 − 36 = 64
Multiply by π:
Area = 64π ≈ 201.06 square units
Final Answer: The area of the annulus is approximately 201.06 square units.