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

STEP 0: Pre-Calculation Summary
Formula Used
Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)
rInner = sqrt(rOuter^2-(l/2)^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Outer Circle Radius of Annulus: 10 Meter --> 10 Meter No Conversion Required
Longest Interval of Annulus: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rInner = sqrt(rOuter^2-(l/2)^2) --> sqrt(10^2-(16/2)^2)
Evaluating ... ...
rInner = 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 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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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 Outer Circle Radius and Longest Interval Formula

​LaTeX ​Go
Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)
rInner = sqrt(rOuter^2-(l/2)^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 Outer Circle Radius and Longest Interval?

Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval calculator uses Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2) to calculate the Inner Circle Radius of Annulus, The Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval formula is defined as straight line from Centre to the inner circumference of Annulus, calculated using outer circle radius and longest interval. Inner Circle Radius of Annulus is denoted by rInner symbol.

How to calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval using this online calculator? To use this online calculator for Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval, enter Outer Circle Radius of Annulus (rOuter) & Longest Interval of Annulus (l) and hit the calculate button. Here is how the Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval calculation can be explained with given input values -> 6 = sqrt(10^2-(16/2)^2).

FAQ

What is Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval?
The Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval formula is defined as straight line from Centre to the inner circumference of Annulus, calculated using outer circle radius and longest interval and is represented as rInner = sqrt(rOuter^2-(l/2)^2) or Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2). Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary & Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle.
How to calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval?
The Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval formula is defined as straight line from Centre to the inner circumference of Annulus, calculated using outer circle radius and longest interval is calculated using Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2). To calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval, you need Outer Circle Radius of Annulus (rOuter) & Longest Interval of Annulus (l). With our tool, you need to enter the respective value for Outer Circle Radius of Annulus & Longest Interval 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 Outer Circle Radius of Annulus & Longest Interval 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 = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus
  • Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)
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