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

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

GoRadius of Inner Circle of Annulus given Area and Breadth Formula

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Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles. Check FAQs

r Inner = \sqrt{{r Outer}^{2} - \frac{A}{π}}

r_Inner - Inner Circle Radius of Annulus?r_Outer - Outer Circle Radius of Annulus?A - Area of Annulus?π - Archimedes' constant?

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

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Here is how the Radius of Inner Circle of Annulus given Outer Circle Radius and Area equation looks like with Values.

Here is how the Radius of Inner Circle of Annulus given Outer Circle Radius and Area equation looks like with Units.

Here is how the Radius of Inner Circle of Annulus given Outer Circle Radius and Area equation looks like.

6.0281 = \sqrt{10^{2} - \frac{200}{3.1416}}

6.0281m = \sqrt{{10m}^{2} - \frac{200m²}{3.1416}}

6.0281 = \sqrt{10^{2} - \frac{200}{3.1416}}

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2D Geometry » fx Radius of Inner Circle of Annulus given Outer Circle Radius and Area

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

Follow our step by step solution on how to calculate Radius of Inner Circle of Annulus given Outer Circle Radius and Area?

FIRST Step Consider the formula

r Inner = \sqrt{{r Outer}^{2} - \frac{A}{π}}

Next Step Substitute values of Variables

∴

r Inner = \sqrt{{10m}^{2} - \frac{200m²}{π}}

Next Step Substitute values of Constants

∴

r Inner = \sqrt{{10m}^{2} - \frac{200m²}{3.1416}}

Next Step Prepare to Evaluate

∴

r Inner = \sqrt{10^{2} - \frac{200}{3.1416}}

Next Step Evaluate

∴

r Inner = 6.02810274989087m

LAST Step Rounding Answer

∴

r Inner = 6.0281m

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

Variables

Constants

Functions

Inner Circle Radius of Annulus

Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Circle Radius of Annulus

Outer Circle Radius of Annulus

Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Circle Radius of Annulus

Area 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.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Annulus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Inner Circle Radius of Annulus

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

r Inner = r Outer - b

Go Radius of Inner Circle of Annulus given Area and Breadth

r Inner = \frac{(\frac{(\frac{A}{π})}{b}) - b}{2}

Other formulas in Radius of Inner Circle of Annulus category

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

r Outer = b + r Inner

Go Radius of Outer Circle of Annulus given Area and Breadth

r Outer = \frac{(\frac{(\frac{A}{π})}{b}) + b}{2}

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

r Outer = \sqrt{\frac{A}{π} + {r Inner}^{2}}

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

Radius of Inner Circle of Annulus given Outer Circle Radius and Area evaluator uses Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi) to evaluate 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 evaluate Radius of Inner Circle of Annulus given Outer Circle Radius and Area using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Radius of Inner Circle of Annulus given Outer Circle Radius and Area?

The formula of Radius of Inner Circle of Annulus given Outer Circle Radius and Area is expressed as Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi). Here is an example- 6.028103 = sqrt(10^2-200/pi).

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

With Outer Circle Radius of Annulus (r_Outer) & Area of Annulus (A) we can find Radius of Inner Circle of Annulus given Outer Circle Radius and Area using the formula - Inner Circle Radius of Annulus = sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Inner Circle Radius of Annulus?

Here are the different ways to Calculate Inner Circle Radius of Annulus-

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

Can the Radius of Inner Circle of Annulus given Outer Circle Radius and Area be negative?

No, the Radius of Inner Circle of Annulus given Outer Circle Radius and Area, measured in Length cannot be negative.

Which unit is used to measure Radius of Inner Circle of Annulus given Outer Circle Radius and Area?

Radius of Inner Circle of Annulus given Outer Circle Radius and Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Inner Circle of Annulus given Outer Circle Radius and Area can be measured.

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

​GoRadius of Inner Circle of Annulus given Outer Circle Radius and Breadth Formula

​GoRadius of Inner Circle of Annulus given Area and Breadth Formula

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

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

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

Other Formulas to find Inner Circle Radius of Annulus

Other formulas in Radius of Inner Circle of Annulus category

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

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

Variable Name

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

GoRadius of Inner Circle of Annulus given Area and Breadth Formula