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Height of Cycloid given Perimeter Formula

GoHeight of Cycloid Formula

GoHeight of Cycloid given Arc Length Formula

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The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid. Check FAQs

h = \frac{2 \cdot P}{8 + (2 \cdot π)}

h - Height of Cycloid?P - Perimeter of Cycloid?π - Archimedes' constant?

Height of Cycloid given Perimeter Example

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

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

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

9.8017 = \frac{2 \cdot 70}{8 + (2 \cdot 3.1416)}

9.8017m = \frac{2 \cdot 70m}{8 + (2 \cdot 3.1416)}

9.8017 = \frac{2 \cdot 70}{8 + (2 \cdot 3.1416)}

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Height of Cycloid given Perimeter Solution

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

FIRST Step Consider the formula

h = \frac{2 \cdot P}{8 + (2 \cdot π)}

Next Step Substitute values of Variables

∴

h = \frac{2 \cdot 70m}{8 + (2 \cdot π)}

Next Step Substitute values of Constants

∴

h = \frac{2 \cdot 70m}{8 + (2 \cdot 3.1416)}

Next Step Prepare to Evaluate

∴

h = \frac{2 \cdot 70}{8 + (2 \cdot 3.1416)}

Next Step Evaluate

∴

h = 9.80173518645225m

LAST Step Rounding Answer

∴

h = 9.8017m

Height of Cycloid given Perimeter Formula Elements

Variables

Constants

Height of Cycloid

The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cycloid

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

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 Height of Cycloid

Go Height of Cycloid

h = 2 \cdot r Circle

Go Height of Cycloid given Arc Length

h = \frac{l Arc}{4}

Go Height of Cycloid given Base Length

h = \frac{l Base}{π}

Go Height of Cycloid given Area

h = 2 \cdot \sqrt{\frac{A}{3 \cdot π}}

How to Evaluate Height of Cycloid given Perimeter?

Height of Cycloid given Perimeter evaluator uses Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi)) to evaluate the Height of Cycloid, The Height of Cycloid given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of Cycloid, calculated using its perimeter. Height of Cycloid is denoted by h symbol.

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

FAQs on Height of Cycloid given Perimeter

What is the formula to find Height of Cycloid given Perimeter?

The formula of Height of Cycloid given Perimeter is expressed as Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi)). Here is an example- 9.801735 = (2*70)/(8+(2*pi)).

How to calculate Height of Cycloid given Perimeter?

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

What are the other ways to Calculate Height of Cycloid?

Here are the different ways to Calculate Height of Cycloid-

Height of Cycloid=2*Radius of Circle of Cycloid
Height of Cycloid=Arc Length of Cycloid/4
Height of Cycloid=Base Length of Cycloid/pi

Can the Height of Cycloid given Perimeter be negative?

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

Which unit is used to measure Height of Cycloid given Perimeter?

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

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