Perimeter of Annulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)
P = 2*pi*(rOuter+rInner)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Perimeter of Annulus - (Measured in Meter) - Perimeter of Annulus is defined as the total distance around the edge of the Annulus.
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
P = 2*pi*(rOuter+rInner) --> 2*pi*(10+6)
Evaluating ... ...
P = 100.530964914873
STEP 3: Convert Result to Output's Unit
100.530964914873 Meter --> No Conversion Required
FINAL ANSWER
100.530964914873 100.531 Meter <-- Perimeter of Annulus
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

9 Perimeter of Annulus Calculators

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

3 Perimeter of Annulus Calculators

Perimeter of Annulus
Go Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)
Perimeter of Annulus given Breadth and Inner Circle Radius
Go Perimeter of Annulus = 2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)
Perimeter of Annulus given Breadth and Outer Circle Radius
Go Perimeter of Annulus = 2*pi*(2*Outer Circle Radius of Annulus-Breadth of Annulus)

Perimeter of Annulus Formula

Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)
P = 2*pi*(rOuter+rInner)

What is 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 Perimeter of Annulus?

Perimeter of Annulus calculator uses Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus) to calculate the Perimeter of Annulus, The Perimeter of Annulus formula is defined as the total distance around the edge of the Annulus. Perimeter of Annulus is denoted by P symbol.

How to calculate Perimeter of Annulus using this online calculator? To use this online calculator for Perimeter of Annulus, enter Outer Circle Radius of Annulus (rOuter) & Inner Circle Radius of Annulus (rInner) and hit the calculate button. Here is how the Perimeter of Annulus calculation can be explained with given input values -> 100.531 = 2*pi*(10+6).

FAQ

What is Perimeter of Annulus?
The Perimeter of Annulus formula is defined as the total distance around the edge of the Annulus and is represented as P = 2*pi*(rOuter+rInner) or Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus). 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 Perimeter of Annulus?
The Perimeter of Annulus formula is defined as the total distance around the edge of the Annulus is calculated using Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus). To calculate Perimeter of Annulus, you need Outer Circle Radius of Annulus (rOuter) & Inner Circle Radius of Annulus (rInner). 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 Perimeter of Annulus?
In this formula, Perimeter of Annulus uses Outer Circle Radius of Annulus & Inner Circle Radius of Annulus. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Annulus = 2*pi*(sqrt(Longest Interval of Annulus^2/4+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus)
  • Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus)
  • Perimeter of Annulus = 2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)
  • Perimeter of Annulus = 2*pi*(2*Outer Circle Radius of Annulus-Breadth of Annulus)
  • Perimeter of Annulus = 2*pi*(sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus)
  • Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)+Outer Circle Radius of Annulus)
  • Perimeter of Annulus = 2*Area of Annulus/Breadth of Annulus
  • Perimeter of Annulus = pi/(2*Breadth of Annulus)*Longest Interval of Annulus^2
  • Perimeter of Annulus = 2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)
  • Perimeter of Annulus = 2*pi*(2*Outer Circle Radius of Annulus-Breadth of Annulus)
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