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Inner Radius of Circular Ring given Outer Radius and Area Formula

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The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles. Check FAQs

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

r_Inner - Inner Radius of Circular Ring?r_Outer - Outer Radius of Circular Ring?A - Area of Circular Ring?π - Archimedes' constant?

Inner Radius of Circular Ring given Outer Radius and Area Example

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

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

Here is how the Inner Radius of Circular Ring given Outer 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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Inner Radius of Circular Ring given Outer Radius and Area Solution

Follow our step by step solution on how to calculate Inner Radius of Circular Ring given Outer 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

Inner Radius of Circular Ring given Outer Radius and Area Formula Elements

Variables

Constants

Functions

Inner Radius of Circular Ring

The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Circular Ring

Outer Radius of Circular Ring

The Outer Radius of Circular Ring 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 Radius of Circular Ring

Area of Circular Ring

Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circular Ring

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 Radius of Circular Ring

Go Inner Radius of Circular Ring given Area and Width

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

Go Inner Radius of Circular Ring given Area and Perimeter

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

Go Inner Radius of Circular Ring given Longest Interval and Width

r Inner = \frac{(\frac{(\frac{{I Longest}^{2}}{4})}{w}) - w}{2}

Go Inner Radius of Circular Ring given Longest Interval and Perimeter

r Inner = \frac{(\frac{P}{2 \cdot π}) - (\frac{(\frac{{I Longest}^{2}}{4})}{(\frac{P}{2 \cdot π})})}{2}

How to Evaluate Inner Radius of Circular Ring given Outer Radius and Area?

Inner Radius of Circular Ring given Outer Radius and Area evaluator uses Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi) to evaluate the Inner Radius of Circular Ring, The Inner Radius of Circular Ring given Outer Radius and Area formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and area of Circular Ring. Inner Radius of Circular Ring is denoted by r_Inner symbol.

How to evaluate Inner Radius of Circular Ring given Outer Radius and Area using this online evaluator? To use this online evaluator for Inner Radius of Circular Ring given Outer Radius and Area, enter Outer Radius of Circular Ring (r_Outer) & Area of Circular Ring (A) and hit the calculate button.

FAQs on Inner Radius of Circular Ring given Outer Radius and Area

What is the formula to find Inner Radius of Circular Ring given Outer Radius and Area?

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

How to calculate Inner Radius of Circular Ring given Outer Radius and Area?

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

What are the other ways to Calculate Inner Radius of Circular Ring?

Here are the different ways to Calculate Inner Radius of Circular Ring-

Inner Radius of Circular Ring=((((Area of Circular Ring/pi))/Width of Circular Ring)-Width of Circular Ring)/2
Inner Radius of Circular Ring=((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2
Inner Radius of Circular Ring=((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2

Can the Inner Radius of Circular Ring given Outer Radius and Area be negative?

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

Which unit is used to measure Inner Radius of Circular Ring given Outer Radius and Area?

Inner Radius of Circular Ring given Outer 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 Inner Radius of Circular Ring given Outer Radius and Area can be measured.

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Inner Radius of Circular Ring given Outer Radius and Area Formula

​GoInner Radius of Circular Ring given Area and Width Formula

​GoInner Radius of Circular Ring given Area and Perimeter Formula

Inner Radius of Circular Ring given Outer Radius and Area Example

Inner Radius of Circular Ring given Outer Radius and Area Solution

Inner Radius of Circular Ring given Outer Radius and Area Formula Elements

Other Formulas to find Inner Radius of Circular Ring

How to Evaluate Inner Radius of Circular Ring given Outer Radius and Area?

FAQs on Inner Radius of Circular Ring given Outer Radius and Area

Variable Name

GoInner Radius of Circular Ring given Area and Width Formula

GoInner Radius of Circular Ring given Area and Perimeter Formula