Perimeter of Annulus given Longest Interval and Outer Circle Radius Calculator

✖Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Circle Radius of Annulus [r_Outer]			+10% -10%
✖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%

✖Perimeter of Annulus is defined as the total distance around the edge of the Annulus.ⓘ Perimeter of Annulus given Longest Interval and Outer Circle Radius [P]

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Perimeter of Annulus given Longest Interval and Outer Circle Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus)
P = 2*pi*(sqrt(r_Outer^2-l^2/4)+r_Outer)
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

Perimeter of Annulus - (Measured in Meter) - Perimeter of Annulus is defined as the total distance around the edge of the Annulus.
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

P = 2*pi*(sqrt(r_Outer^2-l^2/4)+r_Outer) --> 2*pi*(sqrt(10^2-16^2/4)+10)

Evaluating ... ...

P = 100.530964914873

STEP 3: Convert Result to Output's Unit

100.530964914873 Meter --> No Conversion Required

FINAL ANSWER

100.530964914873 ≈ 100.531 Meter <-- Perimeter of Annulus

(Calculation completed in 00.004 seconds)

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< Perimeter of Annulus Calculators

Perimeter of Annulus given Longest Interval and Inner Circle Radius

LaTeX Go Perimeter of Annulus = 2*pi*(sqrt(Longest Interval of Annulus^2/4+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus)

Perimeter of Annulus given Longest Interval and Outer Circle Radius

LaTeX Go Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus)

Perimeter of Annulus

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

Perimeter of Annulus given Breadth and Inner Circle Radius

LaTeX Go Perimeter of Annulus = 2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)

Perimeter of Annulus given Longest Interval and Outer Circle Radius Formula

LaTeX Go

Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus)
P = 2*pi*(sqrt(r_Outer^2-l^2/4)+r_Outer)

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 Perimeter of Annulus given Longest Interval and Outer Circle Radius?

Perimeter of Annulus given Longest Interval and Outer Circle Radius calculator uses Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus) to calculate the Perimeter of Annulus, The Perimeter of Annulus given Longest Interval and Outer Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using longest interval and outer circle radius. Perimeter of Annulus is denoted by P symbol.

How to calculate Perimeter of Annulus given Longest Interval and Outer Circle Radius using this online calculator? To use this online calculator for Perimeter of Annulus given Longest Interval and Outer Circle Radius, enter Outer Circle Radius of Annulus (r_Outer) & Longest Interval of Annulus (l) and hit the calculate button. Here is how the Perimeter of Annulus given Longest Interval and Outer Circle Radius calculation can be explained with given input values -> 100.531 = 2*pi*(sqrt(10^2-16^2/4)+10).

FAQ

What is Perimeter of Annulus given Longest Interval and Outer Circle Radius?

The Perimeter of Annulus given Longest Interval and Outer Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using longest interval and outer circle radius and is represented as P = 2*pi*(sqrt(r_Outer^2-l^2/4)+r_Outer) or Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus). 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 Perimeter of Annulus given Longest Interval and Outer Circle Radius?

The Perimeter of Annulus given Longest Interval and Outer Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using longest interval and outer circle radius is calculated using Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus). To calculate Perimeter of Annulus given Longest Interval and Outer Circle Radius, you need Outer Circle Radius of Annulus (r_Outer) & 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 Perimeter of Annulus?

In this formula, Perimeter 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 -

Perimeter of Annulus = 2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)
Perimeter of Annulus = 2*pi*(sqrt(Longest Interval of Annulus^2/4+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus)
Perimeter of Annulus = 2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)

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