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Radius of Inner Circle of Annulus given Longest Interval and Perimeter Formula

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

GoRadius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval 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 = \frac{(\frac{P}{2 \cdot π}) - (\frac{(\frac{l^{2}}{4})}{(\frac{P}{2 \cdot π})})}{2}

r_Inner - Inner Circle Radius of Annulus?P - Perimeter of Annulus?l - Longest Interval of Annulus?π - Archimedes' constant?

Radius of Inner Circle of Annulus given Longest Interval and Perimeter Example

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Here is how the Radius of Inner Circle of Annulus given Longest Interval and Perimeter equation looks like with Units.

Here is how the Radius of Inner Circle of Annulus given Longest Interval and Perimeter equation looks like.

5.9471 = \frac{(\frac{100}{2 \cdot 3.1416}) - (\frac{(\frac{16^{2}}{4})}{(\frac{100}{2 \cdot 3.1416})})}{2}

5.9471m = \frac{(\frac{100m}{2 \cdot 3.1416}) - (\frac{(\frac{{16m}^{2}}{4})}{(\frac{100m}{2 \cdot 3.1416})})}{2}

5.9471 = \frac{(\frac{100}{2 \cdot 3.1416}) - (\frac{(\frac{16^{2}}{4})}{(\frac{100}{2 \cdot 3.1416})})}{2}

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Radius of Inner Circle of Annulus given Longest Interval and Perimeter Solution

Follow our step by step solution on how to calculate Radius of Inner Circle of Annulus given Longest Interval and Perimeter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Inner = \frac{(\frac{100m}{2 \cdot π}) - (\frac{(\frac{{16m}^{2}}{4})}{(\frac{100m}{2 \cdot π})})}{2}

Next Step Substitute values of Constants

∴

r Inner = \frac{(\frac{100m}{2 \cdot 3.1416}) - (\frac{(\frac{{16m}^{2}}{4})}{(\frac{100m}{2 \cdot 3.1416})})}{2}

Next Step Prepare to Evaluate

∴

r Inner = \frac{(\frac{100}{2 \cdot 3.1416}) - (\frac{(\frac{16^{2}}{4})}{(\frac{100}{2 \cdot 3.1416})})}{2}

Next Step Evaluate

∴

r Inner = 5.9471278562973m

LAST Step Rounding Answer

∴

r Inner = 5.9471m

Radius of Inner Circle of Annulus given Longest Interval and Perimeter Formula Elements

Variables

Constants

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

Perimeter of Annulus

Perimeter of Annulus is defined as the total distance around the edge of the Annulus.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Annulus

Longest Interval of Annulus

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

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Longest Interval 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

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 Outer Circle Radius and Longest Interval

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

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

r Inner = \frac{P}{2 \cdot π} - r Outer

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

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

How to Evaluate Radius of Inner Circle of Annulus given Longest Interval and Perimeter?

Radius of Inner Circle of Annulus given Longest Interval and Perimeter evaluator uses Inner Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))-(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2 to evaluate the Inner Circle Radius of Annulus, The Radius of Inner Circle of Annulus given Longest Interval and Perimeter formula is defined as straight line from center to the inner circumference of Annulus, calculated using longest interval and perimeter. Inner Circle Radius of Annulus is denoted by r_Inner symbol.

How to evaluate Radius of Inner Circle of Annulus given Longest Interval and Perimeter using this online evaluator? To use this online evaluator for Radius of Inner Circle of Annulus given Longest Interval and Perimeter, enter Perimeter of Annulus (P) & Longest Interval of Annulus (l) and hit the calculate button.

FAQs on Radius of Inner Circle of Annulus given Longest Interval and Perimeter

What is the formula to find Radius of Inner Circle of Annulus given Longest Interval and Perimeter?

The formula of Radius of Inner Circle of Annulus given Longest Interval and Perimeter is expressed as Inner Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))-(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2. Here is an example- 5.947128 = ((100/(2*pi))-(((16^2/4))/((100/(2*pi)))))/2.

How to calculate Radius of Inner Circle of Annulus given Longest Interval and Perimeter?

With Perimeter of Annulus (P) & Longest Interval of Annulus (l) we can find Radius of Inner Circle of Annulus given Longest Interval and Perimeter using the formula - Inner Circle Radius of Annulus = ((Perimeter of Annulus/(2*pi))-(((Longest Interval of Annulus^2/4))/((Perimeter of Annulus/(2*pi)))))/2. This formula also uses Archimedes' constant .

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=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

Can the Radius of Inner Circle of Annulus given Longest Interval and Perimeter be negative?

No, the Radius of Inner Circle of Annulus given Longest Interval and Perimeter, measured in Length cannot be negative.

Which unit is used to measure Radius of Inner Circle of Annulus given Longest Interval and Perimeter?

Radius of Inner Circle of Annulus given Longest Interval and Perimeter 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 Longest Interval and Perimeter can be measured.

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Radius of Inner Circle of Annulus given Longest Interval and Perimeter Formula

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

​GoRadius of Inner Circle of Annulus given Outer Circle Radius and Longest Interval Formula

Radius of Inner Circle of Annulus given Longest Interval and Perimeter Example

Radius of Inner Circle of Annulus given Longest Interval and Perimeter Solution

Radius of Inner Circle of Annulus given Longest Interval and Perimeter Formula Elements

Other Formulas to find Inner Circle Radius of Annulus

How to Evaluate Radius of Inner Circle of Annulus given Longest Interval and Perimeter?

FAQs on Radius of Inner Circle of Annulus given Longest Interval and Perimeter

Variable Name

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

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