Area of Annulus given Perimeter and Outer Circle Radius Calculator

✖Perimeter of Annulus is defined as the total distance around the edge of the Annulus.ⓘ Perimeter of Annulus [P]			+10% -10%
✖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%

✖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 given Perimeter and Outer Circle Radius [A]

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Area of Annulus given Perimeter and Outer Circle Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi)
A = (P*r_Outer)-P^2/(4*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Annulus: 100 Meter --> 100 Meter No Conversion Required
Outer Circle Radius of Annulus: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P*r_Outer)-P^2/(4*pi) --> (100*10)-100^2/(4*pi)

Evaluating ... ...

A = 204.225284540523

STEP 3: Convert Result to Output's Unit

204.225284540523 Square Meter --> No Conversion Required

FINAL ANSWER

204.225284540523 ≈ 204.2253 Square Meter <-- Area of Annulus

(Calculation completed in 00.004 seconds)

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< Area of Annulus Calculators

Area of Annulus given Breadth and Inner Circle Radius

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

Area of Annulus given Breadth and Outer Circle Radius

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

Area of Annulus

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

Area of Annulus given Longest Interval

LaTeX Go Area of Annulus = pi/4*Longest Interval of Annulus^2

Area of Annulus given Perimeter and Outer Circle Radius Formula

LaTeX Go

Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi)
A = (P*r_Outer)-P^2/(4*pi)

What is an 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 Area of Annulus given Perimeter and Outer Circle Radius?

Area of Annulus given Perimeter and Outer Circle Radius calculator uses Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi) to calculate the Area of Annulus, The Area of Annulus given Perimeter and Outer Circle Radius formula is defined as the amount of space occupied by the ring-shaped space i.e. the enclosed region between the two concentric circles, calculated using perimeter and outer circle radius. Area of Annulus is denoted by A symbol.

How to calculate Area of Annulus given Perimeter and Outer Circle Radius using this online calculator? To use this online calculator for Area of Annulus given Perimeter and Outer Circle Radius, enter Perimeter of Annulus (P) & Outer Circle Radius of Annulus (r_Outer) and hit the calculate button. Here is how the Area of Annulus given Perimeter and Outer Circle Radius calculation can be explained with given input values -> 204.2253 = (100*10)-100^2/(4*pi).

FAQ

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

The Area of Annulus given Perimeter and Outer Circle Radius formula is defined as the amount of space occupied by the ring-shaped space i.e. the enclosed region between the two concentric circles, calculated using perimeter and outer circle radius and is represented as A = (P*r_Outer)-P^2/(4*pi) or Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi). Perimeter of Annulus is defined as the total distance around the edge of the Annulus & Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.

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

The Area of Annulus given Perimeter and Outer Circle Radius formula is defined as the amount of space occupied by the ring-shaped space i.e. the enclosed region between the two concentric circles, calculated using perimeter and outer circle radius is calculated using Area of Annulus = (Perimeter of Annulus*Outer Circle Radius of Annulus)-Perimeter of Annulus^2/(4*pi). To calculate Area of Annulus given Perimeter and Outer Circle Radius, you need Perimeter of Annulus (P) & Outer Circle Radius of Annulus (r_Outer). With our tool, you need to enter the respective value for Perimeter of Annulus & Outer 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 Area of Annulus?

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

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

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