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Perimeter of Cycloid Formula

GoPerimeter of Cycloid given Arc Length Formula

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 r Circle

P - Perimeter of Cycloid?r_Circle - Radius of Circle of Cycloid?π - Archimedes' constant?

Perimeter of Cycloid Example

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

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

Here is how the Perimeter of Cycloid equation looks like.

71.4159 = (8 + (2 \cdot 3.1416)) \cdot 5

71.4159m = (8 + (2 \cdot 3.1416)) \cdot 5m

71.4159 = (8 + (2 \cdot 3.1416)) \cdot 5

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Perimeter of Cycloid Solution

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

FIRST Step Consider the formula

P = (8 + (2 \cdot π)) \cdot r Circle

Next Step Substitute values of Variables

∴

P = (8 + (2 \cdot π)) \cdot 5m

Next Step Substitute values of Constants

∴

P = (8 + (2 \cdot 3.1416)) \cdot 5m

Next Step Prepare to Evaluate

∴

P = (8 + (2 \cdot 3.1416)) \cdot 5

Next Step Evaluate

∴

P = 71.4159265358979m

LAST Step Rounding Answer

∴

P = 71.4159m

Perimeter of Cycloid 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

Radius of Circle of Cycloid

Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.

Symbol: r_Circle

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circle 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 given Arc Length

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

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?

Perimeter of Cycloid evaluator uses Perimeter of Cycloid = (8+(2*pi))*Radius of Circle of Cycloid to evaluate the Perimeter of Cycloid, The Perimeter of Cycloid formula is defined as the length of the outermost parts or boundary of a Cycloid. Perimeter of Cycloid is denoted by P symbol.

How to evaluate Perimeter of Cycloid using this online evaluator? To use this online evaluator for Perimeter of Cycloid, enter Radius of Circle of Cycloid (r_Circle) and hit the calculate button.

FAQs on Perimeter of Cycloid

What is the formula to find Perimeter of Cycloid?

The formula of Perimeter of Cycloid is expressed as Perimeter of Cycloid = (8+(2*pi))*Radius of Circle of Cycloid. Here is an example- 71.41593 = (8+(2*pi))*5.

How to calculate Perimeter of Cycloid?

With Radius of Circle of Cycloid (r_Circle) we can find Perimeter of Cycloid using the formula - Perimeter of Cycloid = (8+(2*pi))*Radius of Circle of Cycloid. 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))*Arc Length of Cycloid/8
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 be negative?

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

Which unit is used to measure Perimeter of Cycloid?

Perimeter of Cycloid 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 can be measured.

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