Area of Annulus Calculator

✖Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Circle Radius of Annulus [r_Outer]			+10% -10%
✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Inner Circle Radius of Annulus [r_Inner]			+10% -10%

✖Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.ⓘ Area of Annulus [A]

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Formula

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Area of Annulus

Formula

`"A" = pi*("r"_{"Outer"}^2-"r"_{"Inner"}^2)`

Example

`"201.0619m²"=pi*(("10m")^2-("6m")^2)`

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Area of Annulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)
A = pi*(r_Outer^2-r_Inner^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area of Annulus - (Measured in Square Meter) - Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.
Outer Circle Radius of Annulus - (Measured in Meter) - Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.
Inner Circle Radius of Annulus - (Measured in Meter) - Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

STEP 1: Convert Input(s) to Base Unit

Outer Circle Radius of Annulus: 10 Meter --> 10 Meter No Conversion Required
Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = pi*(r_Outer^2-r_Inner^2) --> pi*(10^2-6^2)

Evaluating ... ...

A = 201.061929829747

STEP 3: Convert Result to Output's Unit

201.061929829747 Square Meter --> No Conversion Required

FINAL ANSWER

201.061929829747 ≈ 201.0619 Square Meter <-- Area of Annulus

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 7 Area of Annulus Calculators

Area of Annulus given Perimeter and Inner Circle Radius

Go Area of Annulus = Perimeter of Annulus^2/(4*pi)-(Perimeter of Annulus*Inner Circle Radius of Annulus)

Area of Annulus given Perimeter and Outer Circle Radius

Go Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi)

Area of Annulus given Breadth and Inner Circle Radius

Go Area of Annulus = pi*Breadth of Annulus*(Breadth of Annulus+2*Inner Circle Radius of Annulus)

Area of Annulus given Breadth and Outer Circle Radius

Go Area of Annulus = pi*Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)

Area of Annulus

Go Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)

Area of Annulus given Perimeter and Breadth

Go Area of Annulus = (Perimeter of Annulus*Breadth of Annulus)/2

Area of Annulus given Longest Interval

Go Area of Annulus = pi/4*Longest Interval of Annulus^2

< 3 Area of Annulus Calculators

Area of Annulus given Breadth and Inner Circle Radius

Go Area of Annulus = pi*Breadth of Annulus*(Breadth of Annulus+2*Inner Circle Radius of Annulus)

Area of Annulus given Breadth and Outer Circle Radius

Go Area of Annulus = pi*Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)

Area of Annulus

Go Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)

Area of Annulus Formula

Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)
A = pi*(r_Outer^2-r_Inner^2)

What is an Annulus?

In mathematics, an Annulus (plural Annuli or Annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is annular (as in annular eclipse).The area of an Annulus is the difference in the areas of the larger circle of radius R and the smaller one of radius r

How to Calculate Area of Annulus?

Area of Annulus calculator uses Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2) to calculate the Area of Annulus, The Area of Annulus formula is defined as the amount of space occupied by the ring-shaped space i.e. the enclosed region between the two concentric circles. Area of Annulus is denoted by A symbol.

How to calculate Area of Annulus using this online calculator? To use this online calculator for Area of Annulus, enter Outer Circle Radius of Annulus (r_Outer) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button. Here is how the Area of Annulus calculation can be explained with given input values -> 201.0619 = pi*(10^2-6^2).

FAQ

What is Area of Annulus?

The Area of Annulus formula is defined as the amount of space occupied by the ring-shaped space i.e. the enclosed region between the two concentric circles and is represented as A = pi*(r_Outer^2-r_Inner^2) or Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2). Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary & Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

How to calculate Area of Annulus?

The Area of Annulus formula is defined as the amount of space occupied by the ring-shaped space i.e. the enclosed region between the two concentric circles is calculated using Area of Annulus = pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2). To calculate Area of Annulus, you need Outer Circle Radius of Annulus (r_Outer) & Inner Circle Radius of Annulus (r_Inner). With our tool, you need to enter the respective value for Outer Circle Radius of Annulus & Inner Circle Radius of Annulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Annulus?

In this formula, Area of Annulus uses Outer Circle Radius of Annulus & Inner Circle Radius of Annulus. We can use 8 other way(s) to calculate the same, which is/are as follows -

Area of Annulus = pi/4*Longest Interval of Annulus^2
Area of Annulus = pi*Breadth of Annulus*(Breadth of Annulus+2*Inner Circle Radius of Annulus)
Area of Annulus = pi*Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)
Area of Annulus = Perimeter of Annulus^2/(4*pi)-(Perimeter of Annulus*Inner Circle Radius of Annulus)
Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi)
Area of Annulus = (Perimeter of Annulus*Breadth of Annulus)/2
Area of Annulus = pi*Breadth of Annulus*(Breadth of Annulus+2*Inner Circle Radius of Annulus)
Area of Annulus = pi*Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)

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