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Inner Radius of Circular Ring given Outer Radius and Longest Interval Formula

GoInner Radius of Circular Ring given Area and Width Formula

GoInner Radius of Circular Ring given Area and Perimeter 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{I Longest}{2})}^{2}}

r_Inner - Inner Radius of Circular Ring?r_Outer - Outer Radius of Circular Ring?I_Longest - Longest Interval of Circular Ring?

Inner Radius of Circular Ring given Outer Radius and Longest Interval Example

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

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

Here is how the Inner Radius of Circular Ring given Outer Radius and Longest Interval equation looks like.

6 = \sqrt{10^{2} - {(\frac{16}{2})}^{2}}

6m = \sqrt{{10m}^{2} - {(\frac{16m}{2})}^{2}}

6 = \sqrt{10^{2} - {(\frac{16}{2})}^{2}}

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Inner Radius of Circular Ring given Outer Radius and Longest Interval Solution

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

FIRST Step Consider the formula

r Inner = \sqrt{{r Outer}^{2} - {(\frac{I Longest}{2})}^{2}}

Next Step Substitute values of Variables

∴

r Inner = \sqrt{{10m}^{2} - {(\frac{16m}{2})}^{2}}

Next Step Prepare to Evaluate

∴

r Inner = \sqrt{10^{2} - {(\frac{16}{2})}^{2}}

LAST Step Evaluate

∴

r Inner = 6m

Inner Radius of Circular Ring given Outer Radius and Longest Interval Formula Elements

Variables

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

Longest Interval of Circular Ring

Longest Interval of Circular Ring is the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle.

Symbol: I_Longest

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Longest Interval of Circular Ring

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 Longest Interval?

Inner Radius of Circular Ring given Outer Radius and Longest Interval evaluator uses Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2) to evaluate the Inner Radius of Circular Ring, The Inner Radius of Circular Ring given Outer Radius and Longest Interval formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and longest interval 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 Longest Interval using this online evaluator? To use this online evaluator for Inner Radius of Circular Ring given Outer Radius and Longest Interval, enter Outer Radius of Circular Ring (r_Outer) & Longest Interval of Circular Ring (I_Longest) and hit the calculate button.

FAQs on Inner Radius of Circular Ring given Outer Radius and Longest Interval

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

The formula of Inner Radius of Circular Ring given Outer Radius and Longest Interval is expressed as Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2). Here is an example- 6 = sqrt(10^2-(16/2)^2).

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

With Outer Radius of Circular Ring (r_Outer) & Longest Interval of Circular Ring (I_Longest) we can find Inner Radius of Circular Ring given Outer Radius and Longest Interval using the formula - Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2). This formula also uses 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 Longest Interval be negative?

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

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

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

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Inner Radius of Circular Ring given Outer Radius and Longest Interval 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 Longest Interval Example

Inner Radius of Circular Ring given Outer Radius and Longest Interval Solution

Inner Radius of Circular Ring given Outer Radius and Longest Interval Formula Elements

Other Formulas to find Inner Radius of Circular Ring

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

FAQs on Inner Radius of Circular Ring given Outer Radius and Longest Interval

Variable Name

GoInner Radius of Circular Ring given Area and Width Formula

GoInner Radius of Circular Ring given Area and Perimeter Formula