Radius of Inner Circle of Annulus given Outer Circle Radius and Area Calculator

✖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 [A]			+10% -10%

✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Radius of Inner Circle of Annulus given Outer Circle Radius and Area [r_Inner]

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Radius of Inner Circle of Annulus given Outer Circle Radius and Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)
r_Inner = sqrt(r_Outer^2-A/pi)
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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Outer Circle Radius of Annulus: 10 Meter --> 10 Meter No Conversion Required
Area of Annulus: 200 Square Meter --> 200 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = sqrt(r_Outer^2-A/pi) --> sqrt(10^2-200/pi)

Evaluating ... ...

r_Inner = 6.02810274989087

STEP 3: Convert Result to Output's Unit

6.02810274989087 Meter --> No Conversion Required

FINAL ANSWER

6.02810274989087 ≈ 6.028103 Meter <-- Inner Circle Radius of Annulus

(Calculation completed in 00.007 seconds)

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< Radius of Inner Circle of Annulus Calculators

Radius of Inner Circle of Annulus given Outer Circle Radius and Area

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

Radius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval

LaTeX Go Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)

Radius of Inner Circle of Annulus given Outer Circle Radius and Perimeter

LaTeX Go Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus

Radius of Inner Circle of Annulus given Outer Circle Radius and Breadth

LaTeX Go Inner Circle Radius of Annulus = Outer Circle Radius of Annulus-Breadth of Annulus

< Radius of Annulus Calculators

Radius of Inner Circle of Annulus given Area and Breadth

LaTeX Go Inner Circle Radius of Annulus = ((((Area of Annulus/pi))/Breadth of Annulus)-Breadth of Annulus)/2

Radius of Inner Circle of Annulus given Outer Circle Radius and Area

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

Radius of Inner Circle of Annulus given Outer Circle Radius and Breadth

LaTeX Go Inner Circle Radius of Annulus = Outer Circle Radius of Annulus-Breadth of Annulus

Radius of Outer Circle of Annulus given Inner Circle Radius and Breadth

LaTeX Go Outer Circle Radius of Annulus = Breadth of Annulus+Inner Circle Radius of Annulus

Radius of Inner Circle of Annulus given Outer Circle Radius and Area Formula

LaTeX Go

Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)
r_Inner = sqrt(r_Outer^2-A/pi)

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 Radius of Inner Circle of Annulus given Outer Circle Radius and Area?

Radius of Inner Circle of Annulus given Outer Circle Radius and Area calculator uses Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi) to calculate the Inner Circle Radius of Annulus, The Radius of Inner Circle of Annulus given Outer Circle Radius and Area formula is defined as straight line from center to the inner circumference of Annulus, calculated using outer circle radius and area. Inner Circle Radius of Annulus is denoted by r_Inner symbol.

How to calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Area using this online calculator? To use this online calculator for Radius of Inner Circle of Annulus given Outer Circle Radius and Area, enter Outer Circle Radius of Annulus (r_Outer) & Area of Annulus (A) and hit the calculate button. Here is how the Radius of Inner Circle of Annulus given Outer Circle Radius and Area calculation can be explained with given input values -> 6.028103 = sqrt(10^2-200/pi).

FAQ

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

The Radius of Inner Circle of Annulus given Outer Circle Radius and Area formula is defined as straight line from center to the inner circumference of Annulus, calculated using outer circle radius and area and is represented as r_Inner = sqrt(r_Outer^2-A/pi) or Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi). Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary & Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.

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

The Radius of Inner Circle of Annulus given Outer Circle Radius and Area formula is defined as straight line from center to the inner circumference of Annulus, calculated using outer circle radius and area is calculated using Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi). To calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Area, you need Outer Circle Radius of Annulus (r_Outer) & Area of Annulus (A). With our tool, you need to enter the respective value for Outer Circle Radius of Annulus & Area 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 Inner Circle Radius of Annulus?

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

Inner Circle Radius of Annulus = Outer Circle Radius of Annulus-Breadth of Annulus
Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)
Inner Circle Radius of Annulus = Perimeter of Annulus/(2*pi)-Outer Circle Radius of Annulus

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