Inner Radius of Circular Ring given Outer Radius and Longest Interval Calculator

✖The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Radius of Circular Ring [r_Outer]			+10% -10%
✖Longest Interval of Circular Ring is the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle.ⓘ Longest Interval of Circular Ring [I_Longest]			+10% -10%

✖The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.ⓘ Inner Radius of Circular Ring given Outer Radius and Longest Interval [r_Inner]

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Inner Radius of Circular Ring given Outer Radius and Longest Interval Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2)
r_Inner = sqrt(r_Outer^2-(I_Longest/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 Radius of Circular Ring - (Measured in Meter) - The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.
Outer Radius of Circular Ring - (Measured in Meter) - The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.
Longest Interval of Circular Ring - (Measured in Meter) - Longest Interval of Circular Ring is the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Circular Ring: 10 Meter --> 10 Meter No Conversion Required
Longest Interval of Circular Ring: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = sqrt(r_Outer^2-(I_Longest/2)^2) --> sqrt(10^2-(16/2)^2)

Evaluating ... ...

r_Inner = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Inner Radius of Circular Ring

(Calculation completed in 00.017 seconds)

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< Inner Radius of Circular Ring Calculators

Inner Radius of Circular Ring given Area and Perimeter

LaTeX Go Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2

Inner Radius of Circular Ring given Longest Interval and Perimeter

LaTeX Go Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Longest Interval of Circular Ring^2/4))/((Perimeter of Circular Ring/(2*pi)))))/2

Inner Radius of Circular Ring given Area and Width

LaTeX Go Inner Radius of Circular Ring = ((((Area of Circular Ring/pi))/Width of Circular Ring)-Width of Circular Ring)/2

Inner Radius of Circular Ring given Longest Interval and Width

LaTeX Go Inner Radius of Circular Ring = ((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2

Inner Radius of Circular Ring given Outer Radius and Longest Interval Formula

LaTeX Go

Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2)
r_Inner = sqrt(r_Outer^2-(I_Longest/2)^2)

What is Circular Ring?

Circular Ring is the ring shape formed by two concentric circles or the region in between the outer and inner circles among a pair of concentric circles. This shape is in general known as Annulus.

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Inner Radius of Circular Ring given Outer Radius and Longest Interval?

Inner Radius of Circular Ring given Outer Radius and Longest Interval calculator uses Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2) to calculate the Inner Radius of Circular Ring, The Inner Radius of Circular Ring given Outer Radius and Longest Interval formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and longest interval of Circular Ring. Inner Radius of Circular Ring is denoted by r_Inner symbol.

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

FAQ

What is Inner Radius of Circular Ring given Outer Radius and Longest Interval?

The Inner Radius of Circular Ring given Outer Radius and Longest Interval formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and longest interval of Circular Ring and is represented as r_Inner = sqrt(r_Outer^2-(I_Longest/2)^2) or Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2). The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary & Longest Interval of Circular Ring is the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle.

How to calculate Inner Radius of Circular Ring given Outer Radius and Longest Interval?

The Inner Radius of Circular Ring given Outer Radius and Longest Interval formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and longest interval of Circular Ring is calculated using Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2). To calculate Inner Radius of Circular Ring given Outer Radius and Longest Interval, you need Outer Radius of Circular Ring (r_Outer) & Longest Interval of Circular Ring (I_Longest). With our tool, you need to enter the respective value for Outer Radius of Circular Ring & Longest Interval of Circular Ring 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 Radius of Circular Ring?

In this formula, Inner Radius of Circular Ring uses Outer Radius of Circular Ring & Longest Interval of Circular Ring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inner Radius of Circular Ring = ((((Area of Circular Ring/pi))/Width of Circular Ring)-Width of Circular Ring)/2
Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2
Inner Radius of Circular Ring = ((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2

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