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Perimeter of Annulus given Longest Interval and Inner Circle Radius Formula

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GoPerimeter of Annulus given Longest Interval and Outer Circle Radius Formula

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

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

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

Perimeter of Annulus given Longest Interval and Inner Circle Radius Example

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

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

100.531 = 2 \cdot 3.1416 \cdot (\sqrt{\frac{16^{2}}{4} + 6^{2}} + 6)

100.531m = 2 \cdot 3.1416 \cdot (\sqrt{\frac{{16m}^{2}}{4} + {6m}^{2}} + 6m)

100.531 = 2 \cdot 3.1416 \cdot (\sqrt{\frac{16^{2}}{4} + 6^{2}} + 6)

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Perimeter of Annulus given Longest Interval and Inner Circle Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot π \cdot (\sqrt{\frac{{16m}^{2}}{4} + {6m}^{2}} + 6m)

Next Step Substitute values of Constants

∴

P = 2 \cdot 3.1416 \cdot (\sqrt{\frac{{16m}^{2}}{4} + {6m}^{2}} + 6m)

Next Step Prepare to Evaluate

∴

P = 2 \cdot 3.1416 \cdot (\sqrt{\frac{16^{2}}{4} + 6^{2}} + 6)

Next Step Evaluate

∴

P = 100.530964914873m

LAST Step Rounding Answer

∴

P = 100.531m

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

Variables

Constants

Functions

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

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

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 Perimeter of Annulus

Go Perimeter of Annulus

P = 2 \cdot π \cdot (r Outer + r Inner)

Go Perimeter of Annulus given Longest Interval and Outer Circle Radius

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

Go Perimeter of Annulus given Breadth and Inner Circle Radius

P = 2 \cdot π \cdot (b + 2 \cdot r Inner)

Go Perimeter of Annulus given Breadth and Outer Circle Radius

P = 2 \cdot π \cdot (2 \cdot r Outer - b)

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

Perimeter of Annulus given Longest Interval and Inner Circle Radius evaluator uses Perimeter of Annulus = 2*pi*(sqrt(Longest Interval of Annulus^2/4+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus) to evaluate the Perimeter of Annulus, The Perimeter of Annulus given Longest Interval and Inner Circle Radius formula is defined as the total distance around the edge of the Annulus, calculated using longest interval and inner circle radius. Perimeter of Annulus is denoted by P symbol.

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

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

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

The formula of Perimeter of Annulus given Longest Interval and Inner Circle Radius is expressed as Perimeter of Annulus = 2*pi*(sqrt(Longest Interval of Annulus^2/4+Inner Circle Radius of Annulus^2)+Inner Circle Radius of Annulus). Here is an example- 100.531 = 2*pi*(sqrt(16^2/4+6^2)+6).

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

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

What are the other ways to Calculate Perimeter of Annulus?

Here are the different ways to Calculate Perimeter of Annulus-

Perimeter of Annulus=2*pi*(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)
Perimeter of Annulus=2*pi*(sqrt(Outer Circle Radius of Annulus^2-Longest Interval of Annulus^2/4)+Outer Circle Radius of Annulus)
Perimeter of Annulus=2*pi*(Breadth of Annulus+2*Inner Circle Radius of Annulus)

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

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

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

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

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Perimeter of Annulus given Longest Interval and Inner Circle Radius Formula

​GoPerimeter of Annulus Formula

​GoPerimeter of Annulus given Longest Interval and Outer Circle Radius Formula

Perimeter of Annulus given Longest Interval and Inner Circle Radius Example

Perimeter of Annulus given Longest Interval and Inner Circle Radius Solution

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

Other Formulas to find Perimeter of Annulus

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

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

Variable Name

GoPerimeter of Annulus Formula

GoPerimeter of Annulus given Longest Interval and Outer Circle Radius Formula