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Height of Cycloid given Area 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 = 2 \cdot \sqrt{\frac{A}{3 \cdot π}}

h - Height of Cycloid?A - Area of Cycloid?π - Archimedes' constant?

Height of Cycloid given Area Example

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

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

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

9.9868 = 2 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

9.9868m = 2 \cdot \sqrt{\frac{235m²}{3 \cdot 3.1416}}

9.9868 = 2 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

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Height of Cycloid given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 2 \cdot \sqrt{\frac{235m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

h = 2 \cdot \sqrt{\frac{235m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

h = 2 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

Next Step Evaluate

∴

h = 9.98684623246604m

LAST Step Rounding Answer

∴

h = 9.9868m

Height of Cycloid given Area Formula Elements

Variables

Constants

Functions

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

Area of Cycloid

The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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 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 Perimeter

h = \frac{2 \cdot P}{8 + (2 \cdot π)}

How to Evaluate Height of Cycloid given Area?

Height of Cycloid given Area evaluator uses Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi)) to evaluate the Height of Cycloid, The Height of Cycloid given Area formula is defined as the measure of vertical distance from one top to bottom face of Cycloid, calculated using its area. Height of Cycloid is denoted by h symbol.

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

FAQs on Height of Cycloid given Area

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

The formula of Height of Cycloid given Area is expressed as Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi)). Here is an example- 9.986846 = 2*sqrt(235/(3*pi)).

How to calculate Height of Cycloid given Area?

With Area of Cycloid (A) we can find Height of Cycloid given Area using the formula - Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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 Area be negative?

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

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

Height of Cycloid given Area 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 Area can be measured.

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