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Height of cycloid given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = 2*(Perimeter/((8+(2*pi))))
h = 2*(P/((8+(2*pi))))
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = 2*(P/((8+(2*pi)))) --> 2*(20/((8+(2*pi))))
Evaluating ... ...
h = 2.80049576755779
STEP 3: Convert Result to Output's Unit
2.80049576755779 Meter --> No Conversion Required
FINAL ANSWER
2.80049576755779 Meter <-- Height
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and perimeter are given
diagonal = sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)) Go
Diagonal of a Rectangle when length and perimeter are given
diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) Go
Area of a Rectangle when breadth and perimeter are given
area = (Perimeter*(Breadth/2))-(Breadth)^2 Go
Area of rectangle when perimeter and breadth are given
area = (Perimeter*Breadth-2*(Breadth)^2)/2 Go
Area of a Rectangle when length and perimeter are given
area = (Perimeter*(Length/2))-(Length)^2 Go
Area of rectangle when perimeter and length are given
area = (Perimeter*Length-2*(Length)^2)/2 Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Breadth of rectangle when perimeter and length are given
breadth = (Perimeter-2*Length)/2 Go
Diagonal of a Square when perimeter is given
diagonal = (Perimeter/4)*sqrt(2) Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go
Area of a Square when perimeter is given
area = (1/16)*(Perimeter)^2 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 perimeter Formula

height = 2*(Perimeter/((8+(2*pi))))
h = 2*(P/((8+(2*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 perimeter?

Height of cycloid given perimeter calculator uses height = 2*(Perimeter/((8+(2*pi)))) to calculate the Height, The Height of cycloid given perimeter 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 perimeter using this online calculator? To use this online calculator for Height of cycloid given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Height of cycloid given perimeter calculation can be explained with given input values -> 2.800496 = 2*(20/((8+(2*pi)))).

FAQ

What is Height of cycloid given perimeter?
The Height of cycloid given perimeter 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*(P/((8+(2*pi)))) or height = 2*(Perimeter/((8+(2*pi)))). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Height of cycloid given perimeter?
The Height of cycloid given perimeter 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*(Perimeter/((8+(2*pi)))). To calculate Height of cycloid given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter. 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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