Perimeter of Annulus given Area and Inner Circle Radius Calculator

✖Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.ⓘ Area of Annulus [A]			+10% -10%
✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Inner Circle Radius of Annulus [r_Inner]			+10% -10%

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

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Formula

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Perimeter of Annulus given Area and Inner Circle Radius

Formula

`"P" = 2*pi*(sqrt("A"/pi+"r"_{"Inner"}^2)+"r"_{"Inner"})`

Example

`"100.4247m"=2*pi*(sqrt("200m²"/pi+("6m")^2)+"6m")`

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Perimeter of Annulus given Area and Inner Circle Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Annulus = 2*pi*(sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus)
P = 2*pi*(sqrt(A/pi+r_Inner^2)+r_Inner)
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.
Area of Annulus - (Measured in Square Meter) - Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Annulus: 200 Square Meter --> 200 Square Meter No Conversion Required
Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*pi*(sqrt(A/pi+r_Inner^2)+r_Inner) --> 2*pi*(sqrt(200/pi+6^2)+6)

Evaluating ... ...

P = 100.424682040794

STEP 3: Convert Result to Output's Unit

100.424682040794 Meter --> No Conversion Required

FINAL ANSWER

100.424682040794 ≈ 100.4247 Meter <-- Perimeter of Annulus

(Calculation completed in 00.020 seconds)

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< 9 Perimeter of Annulus Calculators

Perimeter of Annulus given Area and Inner Circle Radius

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

Perimeter of Annulus given Area and Outer Circle Radius

Go Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)+Outer Circle Radius of Annulus)

Perimeter of Annulus given Longest Interval and Inner Circle Radius

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

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

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

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

Perimeter of Annulus given Breadth and Outer Circle Radius

Go Perimeter of Annulus = 2*pi*(2*Outer Circle Radius of Annulus-Breadth of Annulus)

Perimeter of Annulus given Breadth and Longest Interval

Go Perimeter of Annulus = pi/(2*Breadth of Annulus)*Longest Interval of Annulus^2

Perimeter of Annulus given Breadth and Area

Go Perimeter of Annulus = 2*Area of Annulus/Breadth of Annulus

Perimeter of Annulus given Area and Inner Circle Radius Formula

Perimeter of Annulus = 2*pi*(sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus)
P = 2*pi*(sqrt(A/pi+r_Inner^2)+r_Inner)

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 Area and Inner Circle Radius?

Perimeter of Annulus given Area and Inner Circle Radius calculator uses Perimeter of Annulus = 2*pi*(sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus) to calculate the Perimeter of Annulus, The Perimeter of Annulus given Area and Inner Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using area and inner circle radius. Perimeter of Annulus is denoted by P symbol.

How to calculate Perimeter of Annulus given Area and Inner Circle Radius using this online calculator? To use this online calculator for Perimeter of Annulus given Area and Inner Circle Radius, enter Area of Annulus (A) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button. Here is how the Perimeter of Annulus given Area and Inner Circle Radius calculation can be explained with given input values -> 100.4247 = 2*pi*(sqrt(200/pi+6^2)+6).

FAQ

What is Perimeter of Annulus given Area and Inner Circle Radius?

The Perimeter of Annulus given Area and Inner Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using area and inner circle radius and is represented as P = 2*pi*(sqrt(A/pi+r_Inner^2)+r_Inner) or Perimeter of Annulus = 2*pi*(sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus). Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles & Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

How to calculate Perimeter of Annulus given Area and Inner Circle Radius?

The Perimeter of Annulus given Area and Inner Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using area and inner circle radius is calculated using Perimeter of Annulus = 2*pi*(sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus). To calculate Perimeter of Annulus given Area and Inner Circle Radius, you need Area of Annulus (A) & Inner Circle Radius of Annulus (r_Inner). With our tool, you need to enter the respective value for Area of Annulus & Inner Circle Radius 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 Area of Annulus & Inner Circle Radius of Annulus. We can use 8 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*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus)
Perimeter of Annulus = 2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)
Perimeter of Annulus = 2*pi*(2*Outer Circle Radius of Annulus-Breadth of Annulus)
Perimeter of Annulus = 2*pi*(sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)+Outer Circle Radius of Annulus)
Perimeter of Annulus = 2*Area of Annulus/Breadth of Annulus
Perimeter of Annulus = pi/(2*Breadth of Annulus)*Longest Interval of Annulus^2

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