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Area of Annulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = pi*(Radius of large circle^2-Radius of small circle^2)
A = pi*(R^2-r^2)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius of large circle - Radius of large circle is defied as the outer radius of the given polygon. (Measured in Meter)
Radius of small circle - Radius of small circle is defined as the inner radius of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius of large circle: 5 Meter --> 5 Meter No Conversion Required
Radius of small circle: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = pi*(R^2-r^2) --> pi*(5^2-2^2)
Evaluating ... ...
A = 65.9734457253857
STEP 3: Convert Result to Output's Unit
65.9734457253857 Square Meter --> No Conversion Required
FINAL ANSWER
65.9734457253857 Square Meter <-- Area
(Calculation completed in 00.000 seconds)
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8 Area Calculators

Area of sector of annulus
area = ((pi*Angle A)/(2*pi))*(Radius 1^2-Radius 2^2) Go
Area of Annulus
area = pi*(Radius of large circle^2-Radius of small circle^2) Go
Area of Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of Heptagon
area = (7/4)*(Side^2/tan(pi/7)) Go
Area of sector of Circle
area_of_sector = (Radius*Arc Length)/2 Go
Area of Torus
area = pi^2*(Radius 2^2-Radius 1^2) Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Area of Hexagon given side
area = (3/2)*sqrt(3)*Side^2 Go

4 Annulus Calculators

Longest interval of Annulus
length = 2*sqrt((Radius of large circle^2)-(Radius of small circle^2)) Go
Perimeter of Annulus
perimeter = 2*pi*(Radius of large circle+Radius of small circle) Go
Area of Annulus
area = pi*(Radius of large circle^2-Radius of small circle^2) Go
Breadth of Annulus
breadth = Radius of large circle-Radius of small circle Go

Area of Annulus Formula

area = pi*(Radius of large circle^2-Radius of small circle^2)
A = pi*(R^2-r^2)

What is an annulus?

An annulus (the Latin word for "little ring" is anulus / annulus, with plural anuli / annuli) is a ring-shaped object, a region bounded by two concentric circles; equivalently, it is the set difference between two concentric disks. The adjectival form is annular (as in annular eclipse). The open annulus is topologically equivalent to both the open cylinder S × (0,1) and the punctured plane.

How to Calculate Area of Annulus?

Area of Annulus calculator uses area = pi*(Radius of large circle^2-Radius of small circle^2) to calculate the Area, The Area of Annulus 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. Area is denoted by A symbol.

How to calculate Area of Annulus using this online calculator? To use this online calculator for Area of Annulus, enter Radius of large circle (R) & Radius of small circle (r) and hit the calculate button. Here is how the Area of Annulus calculation can be explained with given input values -> 65.97345 = pi*(5^2-2^2).

FAQ

What is Area of Annulus?
The Area of Annulus 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 and is represented as A = pi*(R^2-r^2) or area = pi*(Radius of large circle^2-Radius of small circle^2). Radius of large circle is defied as the outer radius of the given polygon & Radius of small circle is defined as the inner radius of the given polygon.
How to calculate Area of Annulus?
The Area of Annulus 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 is calculated using area = pi*(Radius of large circle^2-Radius of small circle^2). To calculate Area of Annulus, you need Radius of large circle (R) & Radius of small circle (r). With our tool, you need to enter the respective value for Radius of large circle & Radius of small circle 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?
In this formula, Area uses Radius of large circle & Radius of small circle. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • length = 2*sqrt((Radius of large circle^2)-(Radius of small circle^2))
  • area = pi*(Radius of large circle^2-Radius of small circle^2)
  • breadth = Radius of large circle-Radius of small circle
  • perimeter = 2*pi*(Radius of large circle+Radius of small circle)
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