Area of Annulus given perimeter and inner circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Annulus = Perimeter of Annulus^2/(4*pi)-Perimeter of Annulus*Inner circle radius of Annulus
A = P^2/(4*pi)-P*rInner
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.
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
Perimeter of Annulus: 100 Meter --> 100 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
A = P^2/(4*pi)-P*rInner --> 100^2/(4*pi)-100*6
Evaluating ... ...
A = 195.774715459477
STEP 3: Convert Result to Output's Unit
195.774715459477 Square Meter --> No Conversion Required
FINAL ANSWER
195.774715459477 Square Meter <-- Area of Annulus
(Calculation completed in 00.031 seconds)

Credits

Created by prachi gami
NATIONAL INSTITUTE OF ENGINEERING (nie), mysore
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The National Institute of Engineering (NIE), Mysuru
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7 Area of Annulus Calculators

Area of Annulus given perimeter and inner circle
Area of Annulus = Perimeter of Annulus^2/(4*pi)-Perimeter of Annulus*Inner circle radius of Annulus Go
Area of Annulus given perimeter and outer circle
Area of Annulus = Perimeter of Annulus*Outer circle radius of Annulus-Perimeter of Annulus^2/(4*pi) Go
Area of Annulus given breadth and inner circle
Area of Annulus = pi*Breadth of Annulus*(Breadth of Annulus+2*Inner circle radius of Annulus) Go
Area of Annulus given breadth and outer circle
Area of Annulus = pi*Breadth of Annulus*(2*Outer circle radius of Annulus-Breadth of Annulus) Go
Area of Annulus
Area of Annulus = pi*(Outer circle radius of Annulus^2-Inner circle radius of Annulus^2) Go
Area of Annulus given perimeter and breadth
Area of Annulus = Perimeter of Annulus*Breadth of Annulus/2 Go
Area of Annulus given longest interval
Area of Annulus = pi*Longest interval of Annulus^2/4 Go

Area of Annulus given perimeter and inner circle Formula

Area of Annulus = Perimeter of Annulus^2/(4*pi)-Perimeter of Annulus*Inner circle radius of Annulus
A = P^2/(4*pi)-P*rInner

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 inner circle?

Area of Annulus given perimeter and inner circle calculator uses Area of Annulus = Perimeter of Annulus^2/(4*pi)-Perimeter of Annulus*Inner circle radius of Annulus to calculate the Area of Annulus, The Area of Annulus given perimeter and inner circle formula is defined as the space occupied by annulus and A=pi(R^2-r^2) where R is radius of outer circle and r is radius of inner circle, calculated using perimeter and inner circle. Area of Annulus is denoted by A symbol.

How to calculate Area of Annulus given perimeter and inner circle using this online calculator? To use this online calculator for Area of Annulus given perimeter and inner circle, enter Perimeter of Annulus (P) & Inner circle radius of Annulus (rInner) and hit the calculate button. Here is how the Area of Annulus given perimeter and inner circle calculation can be explained with given input values -> 195.7747 = 100^2/(4*pi)-100*6.

FAQ

What is Area of Annulus given perimeter and inner circle?
The Area of Annulus given perimeter and inner circle formula is defined as the space occupied by annulus and A=pi(R^2-r^2) where R is radius of outer circle and r is radius of inner circle, calculated using perimeter and inner circle and is represented as A = P^2/(4*pi)-P*rInner or Area of Annulus = Perimeter of Annulus^2/(4*pi)-Perimeter of Annulus*Inner circle radius of Annulus. Perimeter of Annulus is defined as the total distance around the edge of the Annulus & Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.
How to calculate Area of Annulus given perimeter and inner circle?
The Area of Annulus given perimeter and inner circle formula is defined as the space occupied by annulus and A=pi(R^2-r^2) where R is radius of outer circle and r is radius of inner circle, calculated using perimeter and inner circle is calculated using Area of Annulus = Perimeter of Annulus^2/(4*pi)-Perimeter of Annulus*Inner circle radius of Annulus. To calculate Area of Annulus given perimeter and inner circle, you need Perimeter of Annulus (P) & Inner circle radius of Annulus (rInner). With our tool, you need to enter the respective value for Perimeter 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 Area of Annulus?
In this formula, Area of Annulus uses Perimeter of Annulus & Inner circle radius of Annulus. We can use 6 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*Longest interval of Annulus^2/4
  • Area of Annulus = pi*Breadth of Annulus*(Breadth of Annulus+2*Inner circle radius of Annulus)
  • Area of Annulus = pi*Breadth of Annulus*(2*Outer circle radius of Annulus-Breadth of Annulus)
  • Area of Annulus = Perimeter of Annulus*Outer circle radius of Annulus-Perimeter of Annulus^2/(4*pi)
  • Area of Annulus = Perimeter of Annulus*Breadth of Annulus/2
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