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Perimeter of Circular Ring given Longest Interval and Outer Radius Formula

GoPerimeter of Circular Ring Formula

GoPerimeter of Circular Ring given Area and Inner Radius Formula

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Perimeter of Circular Ring is the length of the ring around all the edges. Check FAQs

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

P - Perimeter of Circular Ring?r_Outer - Outer Radius of Circular Ring?I_Longest - Longest Interval of Circular Ring?π - Archimedes' constant?

Perimeter of Circular Ring given Longest Interval and Outer Radius Example

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

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

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

100.531 = 2 \cdot 3.1416 \cdot (\sqrt{10^{2} - \frac{16^{2}}{4}} + 10)

100.531m = 2 \cdot 3.1416 \cdot (\sqrt{{10m}^{2} - \frac{{16m}^{2}}{4}} + 10m)

100.531 = 2 \cdot 3.1416 \cdot (\sqrt{10^{2} - \frac{16^{2}}{4}} + 10)

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Perimeter of Circular Ring given Longest Interval and Outer Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot π \cdot (\sqrt{{10m}^{2} - \frac{{16m}^{2}}{4}} + 10m)

Next Step Substitute values of Constants

∴

P = 2 \cdot 3.1416 \cdot (\sqrt{{10m}^{2} - \frac{{16m}^{2}}{4}} + 10m)

Next Step Prepare to Evaluate

∴

P = 2 \cdot 3.1416 \cdot (\sqrt{10^{2} - \frac{16^{2}}{4}} + 10)

Next Step Evaluate

∴

P = 100.530964914873m

LAST Step Rounding Answer

∴

P = 100.531m

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

Variables

Constants

Functions

Perimeter of Circular Ring

Perimeter of Circular Ring is the length of the ring around all the edges.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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 Circular Ring

Go Perimeter of Circular Ring

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

Go Perimeter of Circular Ring given Area and Inner Radius

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

Go Perimeter of Circular Ring given Area and Outer Radius

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

Go Perimeter of Circular Ring given Width and Inner Radius

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

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

Perimeter of Circular Ring given Longest Interval and Outer Radius evaluator uses Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Longest Interval of Circular Ring^2/4)+Outer Radius of Circular Ring) to evaluate the Perimeter of Circular Ring, The Perimeter of Circular Ring given Longest Interval and Outer Radius formula is defined as the length of the ring around all the edges, and calculated using the longest interval and outer radius of Circular Ring. Perimeter of Circular Ring is denoted by P symbol.

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

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

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

The formula of Perimeter of Circular Ring given Longest Interval and Outer Radius is expressed as Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Longest Interval of Circular Ring^2/4)+Outer Radius of Circular Ring). Here is an example- 100.531 = 2*pi*(sqrt(10^2-16^2/4)+10).

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

With Outer Radius of Circular Ring (r_Outer) & Longest Interval of Circular Ring (I_Longest) we can find Perimeter of Circular Ring given Longest Interval and Outer Radius using the formula - Perimeter of Circular Ring = 2*pi*(sqrt(Outer Radius of Circular Ring^2-Longest Interval of Circular Ring^2/4)+Outer Radius of Circular Ring). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Circular Ring?

Here are the different ways to Calculate Perimeter of Circular Ring-

Perimeter of Circular Ring=2*pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring)
Perimeter of Circular Ring=2*pi*(sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)+Inner Radius of Circular Ring)
Perimeter of Circular Ring=2*pi*(sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)+Outer Radius of Circular Ring)

Can the Perimeter of Circular Ring given Longest Interval and Outer Radius be negative?

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

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

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

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Perimeter of Circular Ring given Longest Interval and Outer Radius Formula

​GoPerimeter of Circular Ring Formula

​GoPerimeter of Circular Ring given Area and Inner Radius Formula

Perimeter of Circular Ring given Longest Interval and Outer Radius Example

Perimeter of Circular Ring given Longest Interval and Outer Radius Solution

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

Other Formulas to find Perimeter of Circular Ring

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

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

Variable Name

GoPerimeter of Circular Ring Formula

GoPerimeter of Circular Ring given Area and Inner Radius Formula