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## Height of cycloid given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = 2*(sqrt(Area/(3*pi)))
h = 2*(sqrt(A/(3*pi)))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = 2*(sqrt(A/(3*pi))) --> 2*(sqrt(50/(3*pi)))
Evaluating ... ...
h = 4.60658865961781
STEP 3: Convert Result to Output's Unit
4.60658865961781 Meter --> No Conversion Required
4.60658865961781 Meter <-- Height
(Calculation completed in 00.015 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
Breadth of rectangle when area and length are given
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

## < 11 Other formulas that calculate the same Output

Height of a triangular prism when lateral surface area is given
height = Lateral Surface Area/(Side A+Side B+Side C) Go
Height of an isosceles trapezoid
height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go
Altitude of an isosceles triangle
height = sqrt((Side A)^2+((Side B)^2/4)) Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Height of a trapezoid when area and sum of parallel sides are given
height = (2*Area)/Sum of parallel sides of a trapezoid Go
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
height = 4*Radius of Sphere/3 Go
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
height = 4*Radius of Sphere/3 Go
Height of Cone circumscribing a sphere such that volume of cone is minimum
height = 4*Radius of Sphere Go
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
height = 0.75*Slant Height Go
Height of a circular cylinder of maximum convex surface area in a given circular cone
height = Height of Cone/2 Go
Height of Largest right circular cylinder that can be inscribed within a cone
height = Height of Cone/3 Go

### Height of cycloid given area Formula

height = 2*(sqrt(Area/(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 = 2*(sqrt(Area/(3*pi))) to calculate the Height, The Height of cycloid given area formula is defined as the measure of vertical distance from one top to bottom face of cycloid, where h = height of cycloid , a = radius of cycloid. Height and 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 (A) and hit the calculate button. Here is how the Height of cycloid given area calculation can be explained with given input values -> 4.606589 = 2*(sqrt(50/(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, where h = height of cycloid , a = radius of cycloid and is represented as h = 2*(sqrt(A/(3*pi))) or height = 2*(sqrt(Area/(3*pi))). The area is the amount of two-dimensional space taken up by an object.
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, where h = height of cycloid , a = radius of cycloid is calculated using height = 2*(sqrt(Area/(3*pi))). To calculate Height of cycloid given area, you need Area (A). With our tool, you need to enter the respective value for Area 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?
In this formula, Height uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
• height = 4*Radius of Sphere/3
• height = 4*Radius of Sphere
• height = Height of Cone/3
• height = 4*Radius of Sphere/3
• height = Height of Cone/2
• height = 0.75*Slant Height
• height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
• height = (2*Area)/Sum of parallel sides of a trapezoid
• height = sqrt((Side A)^2+((Side B)^2/4))
• height = (2*Volume)/(Base*Length)
• height = Lateral Surface Area/(Side A+Side B+Side C)
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