Radius of Outer Circle of Annulus given Longest Interval and Perimeter Calculator

✖Perimeter of Annulus is defined as the total distance around the edge of the Annulus.ⓘ Perimeter of Annulus [P]			+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%

✖Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Radius of Outer Circle of Annulus given Longest Interval and Perimeter [r_Outer]

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

STEP 0: Pre-Calculation Summary

Formula Used

Outer Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))+(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2
r_Outer = ((P/(2*pi))+(((l^2/4))/((P/(2*pi)))))/2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

Perimeter of Annulus: 100 Meter --> 100 Meter No Conversion Required
Longest Interval of Annulus: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Outer = ((P/(2*pi))+(((l^2/4))/((P/(2*pi)))))/2 --> ((100/(2*pi))+(((16^2/4))/((100/(2*pi)))))/2

Evaluating ... ...

r_Outer = 9.96836645289223

STEP 3: Convert Result to Output's Unit

9.96836645289223 Meter --> No Conversion Required

FINAL ANSWER

9.96836645289223 ≈ 9.968366 Meter <-- Outer Circle Radius of Annulus

(Calculation completed in 00.020 seconds)

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< Radius of Outer Circle of Annulus Calculators

Radius of Outer Circle of Annulus given Inner Circle Radius and Area

LaTeX Go Outer Circle Radius of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)

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

LaTeX Go Outer Circle Radius of Annulus = sqrt((Longest Interval of Annulus/2)^2+Inner Circle Radius of Annulus^2)

Radius of Outer Circle of Annulus given Inner Circle Radius and Perimeter

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

Radius of Outer Circle of Annulus given Inner Circle Radius and Breadth

LaTeX Go Outer Circle Radius of Annulus = Breadth of Annulus+Inner Circle Radius of Annulus

Radius of Outer Circle of Annulus given Longest Interval and Perimeter Formula

LaTeX Go

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

Radius of Outer Circle of Annulus given Longest Interval and Perimeter calculator uses Outer Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))+(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2 to calculate the Outer Circle Radius of Annulus, The Radius of Outer Circle of Annulus given Longest Interval and Perimeter formula is defined as straight line from center to the outer circumference of Annulus, calculated using longest interval and perimeter. Outer Circle Radius of Annulus is denoted by r_Outer symbol.

How to calculate Radius of Outer Circle of Annulus given Longest Interval and Perimeter using this online calculator? To use this online calculator for Radius of Outer Circle of Annulus given Longest Interval and Perimeter, enter Perimeter of Annulus (P) & Longest Interval of Annulus (l) and hit the calculate button. Here is how the Radius of Outer Circle of Annulus given Longest Interval and Perimeter calculation can be explained with given input values -> 9.968366 = ((100/(2*pi))+(((16^2/4))/((100/(2*pi)))))/2.

FAQ

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

The Radius of Outer Circle of Annulus given Longest Interval and Perimeter formula is defined as straight line from center to the outer circumference of Annulus, calculated using longest interval and perimeter and is represented as r_Outer = ((P/(2*pi))+(((l^2/4))/((P/(2*pi)))))/2 or Outer Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))+(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2. Perimeter of Annulus is defined as the total distance around the edge of the Annulus & 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 Outer Circle of Annulus given Longest Interval and Perimeter?

The Radius of Outer Circle of Annulus given Longest Interval and Perimeter formula is defined as straight line from center to the outer circumference of Annulus, calculated using longest interval and perimeter is calculated using Outer Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))+(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2. To calculate Radius of Outer Circle of Annulus given Longest Interval and Perimeter, you need Perimeter of Annulus (P) & Longest Interval of Annulus (l). With our tool, you need to enter the respective value for Perimeter 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 Outer Circle Radius of Annulus?

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

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

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