Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter Calculator

✖Perimeter of Annulus is defined as the total distance around the edge of the Annulus.ⓘ Perimeter of Annulus [P]			+10% -10%
✖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.ⓘ Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter [r_Inner]

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Formula

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Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter

Formula

`"r"_{"Inner"} = "P"/(2*pi)-"r"_{"Outer"}`

Example

`"5.915494m"="100m"/(2*pi)-"10m"`

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Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus
r_Inner = P/(2*pi)-r_Outer
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Annulus: 100 Meter --> 100 Meter No Conversion Required
Outer Circle Radius of Annulus: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = P/(2*pi)-r_Outer --> 100/(2*pi)-10

Evaluating ... ...

r_Inner = 5.91549430918953

STEP 3: Convert Result to Output's Unit

5.91549430918953 Meter --> No Conversion Required

FINAL ANSWER

5.91549430918953 ≈ 5.915494 Meter <-- Inner Circle Radius of Annulus

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 9 Radius of Inner Circle of Annulus Calculators

Radius of Inner Circle of Annulus given Area and Perimeter

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

Radius of Inner Circle of Annulus given Longest Interval and Perimeter

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

Radius of Inner Circle of Annulus given Area and Breadth

Go Inner Circle Radius of Annulus = ((((Area of Annulus/pi))/Breadth of Annulus)-Breadth of Annulus)/2

Radius of Inner Circle of Annulus given Outer Circle Radius and Area

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

Radius of Inner Circle of Annulus given Longest Interval and Breadth

Go Inner Circle Radius of Annulus = ((((Longest Interval of Annulus^2/4))/Breadth of Annulus)-Breadth of Annulus)/2

Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval

Go Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)

Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter

Go Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus

Radius of Inner Circle of Annulus given Perimeter and Breadth

Go Inner Circle Radius of Annulus = (Perimeter of Annulus/(2*pi)-Breadth of Annulus)/2

Radius of Inner Circle of Annulus given Outer Circle Radius and Breadth

Go Inner Circle Radius of Annulus = Outer Circle Radius of Annulus-Breadth of Annulus

Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter Formula

Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus
r_Inner = P/(2*pi)-r_Outer

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 Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter?

Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter calculator uses Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus to calculate the Inner Circle Radius of Annulus, The Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter formula is defined as straight line from center to the inner circumference of Annulus, calculated using outer circle radius and perimeter. Inner Circle Radius of Annulus is denoted by r_Inner symbol.

How to calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter using this online calculator? To use this online calculator for Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter, enter Perimeter of Annulus (P) & Outer Circle Radius of Annulus (r_Outer) and hit the calculate button. Here is how the Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter calculation can be explained with given input values -> 5.915494 = 100/(2*pi)-10.

FAQ

What is Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter?

The Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter formula is defined as straight line from center to the inner circumference of Annulus, calculated using outer circle radius and perimeter and is represented as r_Inner = P/(2*pi)-r_Outer or Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus. Perimeter of Annulus is defined as the total distance around the edge of the Annulus & Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.

How to calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter?

The Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter formula is defined as straight line from center to the inner circumference of Annulus, calculated using outer circle radius and perimeter is calculated using Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus. To calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter, you need Perimeter of Annulus (P) & Outer Circle Radius of Annulus (r_Outer). With our tool, you need to enter the respective value for Perimeter of Annulus & Outer 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 Inner Circle Radius of Annulus?

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

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

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