Longest Interval of Circular Ring given Width and Inner Radius Calculator

✖Width of Circular Ring is defined as the shortest distance or measurement between outer circle and inner circle of Circular Ring.ⓘ Width of Circular Ring [w]			+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 [r_Inner]			+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 given Width and Inner Radius [I_Longest]

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Formula

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Longest Interval of Circular Ring given Width and Inner Radius

Formula

`"I"_{"Longest"} = 2*sqrt("w"*("w"+2*"r"_{"Inner"}))`

Example

`"16m"=2*sqrt("4m"*("4m"+2*"6m"))`

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Longest Interval of Circular Ring given Width and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring))
I_Longest = 2*sqrt(w*(w+2*r_Inner))
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

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.
Width of Circular Ring - (Measured in Meter) - Width of Circular Ring is defined as the shortest distance or measurement between outer circle and inner circle of Circular Ring.
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.

STEP 1: Convert Input(s) to Base Unit

Width of Circular Ring: 4 Meter --> 4 Meter No Conversion Required
Inner Radius of Circular Ring: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_Longest = 2*sqrt(w*(w+2*r_Inner)) --> 2*sqrt(4*(4+2*6))

Evaluating ... ...

I_Longest = 16

STEP 3: Convert Result to Output's Unit

16 Meter --> No Conversion Required

FINAL ANSWER

16 Meter <-- Longest Interval of Circular Ring

(Calculation completed in 00.004 seconds)

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< 7 Longest Interval of Circular Ring Calculators

Longest Interval of Circular Ring given Perimeter and Inner Radius

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

Longest Interval of Circular Ring given Perimeter and Outer Radius

Go Longest Interval of Circular Ring = 2*sqrt(Perimeter of Circular Ring/(2*pi)*((2*Outer Radius of Circular Ring)-Perimeter of Circular Ring/(2*pi)))

Longest Interval of Circular Ring given Width and Inner Radius

Go Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring))

Longest Interval of Circular Ring given Width and Outer Radius

Go Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(2*Outer Radius of Circular Ring-Width of Circular Ring))

Longest Interval of Circular Ring given Perimeter and Width

Go Longest Interval of Circular Ring = 2*sqrt(Perimeter of Circular Ring*Width of Circular Ring/(2*pi))

Longest Interval of Circular Ring

Go Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2)

Longest Interval of Circular Ring given Area

Go Longest Interval of Circular Ring = 2*sqrt(Area of Circular Ring/pi)

Longest Interval of Circular Ring given Width and Inner Radius Formula

Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring))
I_Longest = 2*sqrt(w*(w+2*r_Inner))

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 Longest Interval of Circular Ring given Width and Inner Radius?

Longest Interval of Circular Ring given Width and Inner Radius calculator uses Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring)) to calculate the Longest Interval of Circular Ring, The Longest Interval of Circular Ring given Width and Inner Radius formula is defined as the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle, and calculated using the width and inner radius of Circular Ring. Longest Interval of Circular Ring is denoted by I_Longest symbol.

How to calculate Longest Interval of Circular Ring given Width and Inner Radius using this online calculator? To use this online calculator for Longest Interval of Circular Ring given Width and Inner Radius, enter Width of Circular Ring (w) & Inner Radius of Circular Ring (r_Inner) and hit the calculate button. Here is how the Longest Interval of Circular Ring given Width and Inner Radius calculation can be explained with given input values -> 16 = 2*sqrt(4*(4+2*6)).

FAQ

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

The Longest Interval of Circular Ring given Width and Inner Radius formula is defined as the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle, and calculated using the width and inner radius of Circular Ring and is represented as I_Longest = 2*sqrt(w*(w+2*r_Inner)) or Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring)). Width of Circular Ring is defined as the shortest distance or measurement between outer circle and inner circle of Circular Ring & The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.

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

The Longest Interval of Circular Ring given Width and Inner Radius formula is defined as the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle, and calculated using the width and inner radius of Circular Ring is calculated using Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring)). To calculate Longest Interval of Circular Ring given Width and Inner Radius, you need Width of Circular Ring (w) & Inner Radius of Circular Ring (r_Inner). With our tool, you need to enter the respective value for Width of Circular Ring & Inner Radius 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 Longest Interval of Circular Ring?

In this formula, Longest Interval of Circular Ring uses Width of Circular Ring & Inner Radius of Circular Ring. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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