Longest Interval of Circular Ring given Perimeter and Outer Radius Calculator

✖Perimeter of Circular Ring is the length of the ring around all the edges.ⓘ Perimeter of Circular Ring [P]			+10% -10%
✖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 given Perimeter and Outer Radius [I_Longest]

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Longest Interval of Circular Ring given Perimeter and Outer Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
I_Longest = 2*sqrt(P/(2*pi)*((2*r_Outer)-P/(2*pi)))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Perimeter of Circular Ring - (Measured in Meter) - Perimeter of Circular Ring is the length of the ring around all the edges.
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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Circular Ring: 100 Meter --> 100 Meter No Conversion Required
Outer Radius of Circular Ring: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

I_Longest = 16.1253746719816

STEP 3: Convert Result to Output's Unit

16.1253746719816 Meter --> No Conversion Required

FINAL ANSWER

16.1253746719816 ≈ 16.12537 Meter <-- Longest Interval of Circular Ring

(Calculation completed in 00.004 seconds)

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< Longest Interval of Circular Ring Calculators

Longest Interval of Circular Ring given Width and Inner Radius

LaTeX 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

LaTeX 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

LaTeX 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

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

Longest Interval of Circular Ring given Perimeter and Outer Radius Formula

LaTeX 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)))
I_Longest = 2*sqrt(P/(2*pi)*((2*r_Outer)-P/(2*pi)))

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 Perimeter and Outer Radius?

Longest Interval of Circular Ring given Perimeter and Outer Radius calculator uses 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))) to calculate the Longest Interval of Circular Ring, The Longest Interval of Circular Ring given Perimeter and Outer 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 perimeter and outer radius of Circular Ring. Longest Interval of Circular Ring is denoted by I_Longest symbol.

How to calculate Longest Interval of Circular Ring given Perimeter and Outer Radius using this online calculator? To use this online calculator for Longest Interval of Circular Ring given Perimeter and Outer Radius, enter Perimeter of Circular Ring (P) & Outer Radius of Circular Ring (r_Outer) and hit the calculate button. Here is how the Longest Interval of Circular Ring given Perimeter and Outer Radius calculation can be explained with given input values -> 16.12537 = 2*sqrt(100/(2*pi)*((2*10)-100/(2*pi))).

FAQ

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

The Longest Interval of Circular Ring given Perimeter and Outer 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 perimeter and outer radius of Circular Ring and is represented as I_Longest = 2*sqrt(P/(2*pi)*((2*r_Outer)-P/(2*pi))) or 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))). Perimeter of Circular Ring is the length of the ring around all the edges & The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.

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

The Longest Interval of Circular Ring given Perimeter and Outer 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 perimeter and outer radius of Circular Ring is calculated using 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))). To calculate Longest Interval of Circular Ring given Perimeter and Outer Radius, you need Perimeter of Circular Ring (P) & Outer Radius of Circular Ring (r_Outer). With our tool, you need to enter the respective value for Perimeter of Circular Ring & Outer 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 Perimeter of Circular Ring & Outer Radius of Circular Ring. We can use 3 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*(Width of Circular Ring+2*Inner Radius of Circular Ring))

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