Height of Cycloid given Area Calculator

✖The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid.ⓘ Height of Cycloid given Area [h]

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Formula

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Height of Cycloid given Area

Formula

`"h" = 2*sqrt("A"/(3*pi))`

Example

`"9.986846m"=2*sqrt("235m²"/(3*pi))`

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Height of Cycloid given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi))
h = 2*sqrt(A/(3*pi))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Height of Cycloid - (Measured in Meter) - The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid.
Area of Cycloid - (Measured in Square Meter) - The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

STEP 1: Convert Input(s) to Base Unit

Area of Cycloid: 235 Square Meter --> 235 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 2*sqrt(A/(3*pi)) --> 2*sqrt(235/(3*pi))

Evaluating ... ...

h = 9.98684623246604

STEP 3: Convert Result to Output's Unit

9.98684623246604 Meter --> No Conversion Required

FINAL ANSWER

9.98684623246604 ≈ 9.986846 Meter <-- Height of Cycloid

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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< 5 Height of Cycloid Calculators

Height of Cycloid given Area

Go Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi))

Height of Cycloid given Perimeter

Go Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi))

Height of Cycloid given Base Length

Go Height of Cycloid = Base Length of Cycloid/pi

Height of Cycloid

Go Height of Cycloid = 2*Radius of Circle of Cycloid

Height of Cycloid given Arc Length

Go Height of Cycloid = Arc Length of Cycloid/4

Height of Cycloid given Area Formula

Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi))
h = 2*sqrt(A/(3*pi))

What is a Cycloid?

In geometry, a Cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest descent under constant gravity (the brachistochrone curve). It is also the form of a curve for which the period of an object in simple harmonic motion (rolling up and down repetitively) along the curve does not depend on the object's starting position (the tautochrone curve).

How to Calculate Height of Cycloid given Area?

Height of Cycloid given Area calculator uses Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi)) to calculate 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 calculate Height of Cycloid given Area using this online calculator? To use this online calculator for Height of Cycloid given Area, enter Area of Cycloid (A) and hit the calculate button. Here is how the Height of Cycloid given Area calculation can be explained with given input values -> 9.986846 = 2*sqrt(235/(3*pi)).

FAQ

What is Height of Cycloid given Area?

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 and is represented as h = 2*sqrt(A/(3*pi)) or Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi)). The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

How to calculate Height of Cycloid given Area?

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 is calculated using Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi)). To calculate Height of Cycloid given Area, you need Area of Cycloid (A). With our tool, you need to enter the respective value for Area of Cycloid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Cycloid?

In this formula, Height of Cycloid uses Area of Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -

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
Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi))

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