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Perimeter of Cycloid given Arc Length Formula

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GoPerimeter of Cycloid given Base Length Formula

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The Perimeter of Cycloid is the total distance around the edge of the Cycloid. Check FAQs

P = (8 + (2 \cdot π)) \cdot \frac{l Arc}{8}

P - Perimeter of Cycloid?l_Arc - Arc Length of Cycloid?π - Archimedes' constant?

Perimeter of Cycloid given Arc Length Example

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Here is how the Perimeter of Cycloid given Arc Length equation looks like with Values.

Here is how the Perimeter of Cycloid given Arc Length equation looks like with Units.

Here is how the Perimeter of Cycloid given Arc Length equation looks like.

71.4159 = (8 + (2 \cdot 3.1416)) \cdot \frac{40}{8}

71.4159m = (8 + (2 \cdot 3.1416)) \cdot \frac{40m}{8}

71.4159 = (8 + (2 \cdot 3.1416)) \cdot \frac{40}{8}

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Perimeter of Cycloid given Arc Length Solution

Follow our step by step solution on how to calculate Perimeter of Cycloid given Arc Length?

FIRST Step Consider the formula

P = (8 + (2 \cdot π)) \cdot \frac{l Arc}{8}

Next Step Substitute values of Variables

∴

P = (8 + (2 \cdot π)) \cdot \frac{40m}{8}

Next Step Substitute values of Constants

∴

P = (8 + (2 \cdot 3.1416)) \cdot \frac{40m}{8}

Next Step Prepare to Evaluate

∴

P = (8 + (2 \cdot 3.1416)) \cdot \frac{40}{8}

Next Step Evaluate

∴

P = 71.4159265358979m

LAST Step Rounding Answer

∴

P = 71.4159m

Perimeter of Cycloid given Arc Length Formula Elements

Variables

Constants

Perimeter of Cycloid

The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Cycloid

Arc Length of Cycloid

Arc Length of Cycloid is the distance between two points along a section of a curve.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Cycloid

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 Perimeter of Cycloid

Go Perimeter of Cycloid

P = (8 + (2 \cdot π)) \cdot r Circle

Go Perimeter of Cycloid given Base Length

P = (8 + (2 \cdot π)) \cdot \frac{l Base}{2 \cdot π}

Go Perimeter of Cycloid given Height

P = (8 + (2 \cdot π)) \cdot \frac{h}{2}

Go Perimeter of Cycloid given Area

P = (8 + (2 \cdot π)) \cdot \sqrt{\frac{A}{3 \cdot π}}

How to Evaluate Perimeter of Cycloid given Arc Length?

Perimeter of Cycloid given Arc Length evaluator uses Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8 to evaluate the Perimeter of Cycloid, The Perimeter of Cycloid given Arc Length formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using its arc length. Perimeter of Cycloid is denoted by P symbol.

How to evaluate Perimeter of Cycloid given Arc Length using this online evaluator? To use this online evaluator for Perimeter of Cycloid given Arc Length, enter Arc Length of Cycloid (l_Arc) and hit the calculate button.

FAQs on Perimeter of Cycloid given Arc Length

What is the formula to find Perimeter of Cycloid given Arc Length?

The formula of Perimeter of Cycloid given Arc Length is expressed as Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8. Here is an example- 71.41593 = (8+(2*pi))*40/8.

How to calculate Perimeter of Cycloid given Arc Length?

With Arc Length of Cycloid (l_Arc) we can find Perimeter of Cycloid given Arc Length using the formula - Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8. This formula also uses Archimedes' constant .

What are the other ways to Calculate Perimeter of Cycloid?

Here are the different ways to Calculate Perimeter of Cycloid-

Perimeter of Cycloid=(8+(2*pi))*Radius of Circle of Cycloid
Perimeter of Cycloid=(8+(2*pi))*Base Length of Cycloid/(2*pi)
Perimeter of Cycloid=(8+(2*pi))*Height of Cycloid/2

Can the Perimeter of Cycloid given Arc Length be negative?

No, the Perimeter of Cycloid given Arc Length, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Cycloid given Arc Length?

Perimeter of Cycloid given Arc Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Cycloid given Arc Length can be measured.

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