Perimeter of Circular Ring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Circular Ring = 2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring)
P = 2*pi*(rOuter+rInner)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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
Outer Radius of Circular Ring: 10 Meter --> 10 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
P = 2*pi*(rOuter+rInner) --> 2*pi*(10+6)
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 Circular Ring
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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9 Perimeter of Circular Ring Calculators

Perimeter of Circular Ring given Area and Inner Radius
Go Perimeter of Circular Ring = 2*pi*(sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)+Inner Radius of Circular Ring)
Perimeter of Circular Ring given Area and Outer Radius
Go Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)+Outer Radius of Circular Ring)
Perimeter of Circular Ring given Longest Interval and Inner Radius
Go Perimeter of Circular Ring = 2*pi*(sqrt(Longest Interval of Circular Ring^2/4+Inner Radius of Circular Ring^2)+Inner Radius of Circular Ring)
Perimeter of Circular Ring given Longest Interval and Outer Radius
Go Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Longest Interval of Circular Ring^2/4)+Outer Radius of Circular Ring)
Perimeter of Circular Ring
Go Perimeter of Circular Ring = 2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring)
Perimeter of Circular Ring given Width and Longest Interval
Go Perimeter of Circular Ring = pi/(2*Width of Circular Ring)*Longest Interval of Circular Ring^2
Perimeter of Circular Ring given Width and Inner Radius
Go Perimeter of Circular Ring = 2*pi*(Width of Circular Ring+2*Inner Radius of Circular Ring)
Perimeter of Circular Ring given Width and Outer Radius
Go Perimeter of Circular Ring = 2*pi*(2*Outer Radius of Circular Ring-Width of Circular Ring)
Perimeter of Circular Ring given Width and Area
Go Perimeter of Circular Ring = 2*Area of Circular Ring/Width of Circular Ring

Perimeter of Circular Ring Formula

Perimeter of Circular Ring = 2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring)
P = 2*pi*(rOuter+rInner)

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 Perimeter of Circular Ring?

Perimeter of Circular Ring calculator uses Perimeter of Circular Ring = 2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring) to calculate the Perimeter of Circular Ring, Perimeter of Circular Ring formula is defined as the total length of all the boundary edges of the Circular Ring, which is in fact the sum of perimeters of the inner and outer circles. Perimeter of Circular Ring is denoted by P symbol.

How to calculate Perimeter of Circular Ring using this online calculator? To use this online calculator for Perimeter of Circular Ring, enter Outer Radius of Circular Ring (rOuter) & Inner Radius of Circular Ring (rInner) and hit the calculate button. Here is how the Perimeter of Circular Ring calculation can be explained with given input values -> 100.531 = 2*pi*(10+6).

FAQ

What is Perimeter of Circular Ring?
Perimeter of Circular Ring formula is defined as the total length of all the boundary edges of the Circular Ring, which is in fact the sum of perimeters of the inner and outer circles and is represented as P = 2*pi*(rOuter+rInner) or Perimeter of Circular Ring = 2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring). The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary & The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.
How to calculate Perimeter of Circular Ring?
Perimeter of Circular Ring formula is defined as the total length of all the boundary edges of the Circular Ring, which is in fact the sum of perimeters of the inner and outer circles is calculated using Perimeter of Circular Ring = 2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring). To calculate Perimeter of Circular Ring, you need Outer Radius of Circular Ring (rOuter) & Inner Radius of Circular Ring (rInner). With our tool, you need to enter the respective value for Outer Radius 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 Perimeter of Circular Ring?
In this formula, Perimeter of Circular Ring uses Outer Radius of Circular Ring & Inner Radius of Circular Ring. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Circular Ring = 2*pi*(sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)+Inner Radius of Circular Ring)
  • Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)+Outer Radius of Circular Ring)
  • Perimeter of Circular Ring = 2*pi*(Width of Circular Ring+2*Inner Radius of Circular Ring)
  • Perimeter of Circular Ring = pi/(2*Width of Circular Ring)*Longest Interval of Circular Ring^2
  • Perimeter of Circular Ring = 2*pi*(2*Outer Radius of Circular Ring-Width of Circular Ring)
  • Perimeter of Circular Ring = 2*pi*(sqrt(Longest Interval of Circular Ring^2/4+Inner Radius of Circular Ring^2)+Inner Radius of Circular Ring)
  • Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Longest Interval of Circular Ring^2/4)+Outer Radius of Circular Ring)
  • Perimeter of Circular Ring = 2*Area of Circular Ring/Width of Circular Ring
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