Radius of Inner Circle of Annulus given Longest Interval and Breadth Calculator

✖Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle.ⓘ Longest Interval of Annulus [l]			+10% -10%
✖Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.ⓘ Breadth of Annulus [b]			+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 Longest Interval and Breadth [r_Inner]

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Radius of Inner Circle of Annulus given Longest Interval and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Circle Radius of Annulus = ((((Longest Interval of Annulus^2/4))/Breadth of Annulus)-Breadth of Annulus)/2
r_Inner = ((((l^2/4))/b)-b)/2
This formula uses 3 Variables

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.
Longest Interval of Annulus - (Measured in Meter) - Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle.
Breadth of Annulus - (Measured in Meter) - Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.

STEP 1: Convert Input(s) to Base Unit

Longest Interval of Annulus: 16 Meter --> 16 Meter No Conversion Required
Breadth of Annulus: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = ((((l^2/4))/b)-b)/2 --> ((((16^2/4))/4)-4)/2

Evaluating ... ...

r_Inner = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Inner Circle Radius of Annulus

(Calculation completed in 00.006 seconds)

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< Radius of Inner Circle of Annulus Calculators

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

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

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

LaTeX 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

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

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

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

Radius of Inner Circle of Annulus given Longest Interval and Breadth Formula

LaTeX Go

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

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 Longest Interval and Breadth?

Radius of Inner Circle of Annulus given Longest Interval and Breadth calculator uses Inner Circle Radius of Annulus = ((((Longest Interval of Annulus^2/4))/Breadth of Annulus)-Breadth of Annulus)/2 to calculate the Inner Circle Radius of Annulus, The Radius of Inner Circle of Annulus given Longest Interval and Breadth formula is defined as straight line from center to the inner circumference of Annulus, calculated using longest interval and breadth. Inner Circle Radius of Annulus is denoted by r_Inner symbol.

How to calculate Radius of Inner Circle of Annulus given Longest Interval and Breadth using this online calculator? To use this online calculator for Radius of Inner Circle of Annulus given Longest Interval and Breadth, enter Longest Interval of Annulus (l) & Breadth of Annulus (b) and hit the calculate button. Here is how the Radius of Inner Circle of Annulus given Longest Interval and Breadth calculation can be explained with given input values -> 6 = ((((16^2/4))/4)-4)/2.

FAQ

What is Radius of Inner Circle of Annulus given Longest Interval and Breadth?

The Radius of Inner Circle of Annulus given Longest Interval and Breadth formula is defined as straight line from center to the inner circumference of Annulus, calculated using longest interval and breadth and is represented as r_Inner = ((((l^2/4))/b)-b)/2 or Inner Circle Radius of Annulus = ((((Longest Interval of Annulus^2/4))/Breadth of Annulus)-Breadth of Annulus)/2. Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle & Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.

How to calculate Radius of Inner Circle of Annulus given Longest Interval and Breadth?

The Radius of Inner Circle of Annulus given Longest Interval and Breadth formula is defined as straight line from center to the inner circumference of Annulus, calculated using longest interval and breadth is calculated using Inner Circle Radius of Annulus = ((((Longest Interval of Annulus^2/4))/Breadth of Annulus)-Breadth of Annulus)/2. To calculate Radius of Inner Circle of Annulus given Longest Interval and Breadth, you need Longest Interval of Annulus (l) & Breadth of Annulus (b). With our tool, you need to enter the respective value for Longest Interval of Annulus & Breadth 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 Longest Interval of Annulus & Breadth of Annulus. We can use 3 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 = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus

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