Radius of Inner 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%

✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Radius of Inner Circle of Annulus given Longest Interval and Perimeter [r_Inner]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Annulus Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Inner Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))-(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2
r_Inner = ((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

Inner Circle Radius of Annulus - (Measured in Meter) - Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.
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_Inner = ((P/(2*pi))-(((l^2/4))/((P/(2*pi)))))/2 --> ((100/(2*pi))-(((16^2/4))/((100/(2*pi)))))/2

Evaluating ... ...

r_Inner = 5.9471278562973

STEP 3: Convert Result to Output's Unit

5.9471278562973 Meter --> No Conversion Required

FINAL ANSWER

5.9471278562973 ≈ 5.947128 Meter <-- Inner Circle Radius of Annulus

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Annulus » Radius of Annulus » Radius of Inner Circle of Annulus » Radius of Inner Circle of Annulus given Longest Interval and Perimeter

Credits

Created by prachi gami

NATIONAL INSTITUTE OF ENGINEERING (nie), mysore

prachi gami has created this Calculator and 200+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Radius of Inner Circle of Annulus Calculators

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

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

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

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

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

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

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

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

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

LaTeX Go

Inner Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))-(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2
r_Inner = ((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 Inner Circle of Annulus given Longest Interval and Perimeter?

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

How to calculate Radius of Inner Circle of Annulus given Longest Interval and Perimeter using this online calculator? To use this online calculator for Radius of Inner 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 Inner Circle of Annulus given Longest Interval and Perimeter calculation can be explained with given input values -> 5.947128 = ((100/(2*pi))-(((16^2/4))/((100/(2*pi)))))/2.

FAQ

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

The Radius of Inner Circle of Annulus given Longest Interval and Perimeter formula is defined as straight line from center to the inner circumference of Annulus, calculated using longest interval and perimeter and is represented as r_Inner = ((P/(2*pi))-(((l^2/4))/((P/(2*pi)))))/2 or Inner 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 Inner Circle of Annulus given Longest Interval and Perimeter?

The Radius of Inner Circle of Annulus given Longest Interval and Perimeter formula is defined as straight line from center to the inner circumference of Annulus, calculated using longest interval and perimeter is calculated using Inner 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 Inner 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 Inner Circle Radius of Annulus?

In this formula, Inner 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 -

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

Home

FREE PDFs

🔍 Search