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Perimeter of cycloid given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
perimeter = (Height/2)*(8+(2*pi))
P = (h/2)*(8+(2*pi))
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (h/2)*(8+(2*pi)) --> (12/2)*(8+(2*pi))
Evaluating ... ...
P = 85.6991118430775
STEP 3: Convert Result to Output's Unit
85.6991118430775 Meter --> No Conversion Required
FINAL ANSWER
85.6991118430775 Meter <-- Perimeter
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Perimeter of a rectangle when diagonal and length are given
perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go
Perimeter Of Parallelepiped
perimeter = 4*Side A+4*Side B+4*Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of a rectangle when length and width are given
perimeter = 2*Length+2*Width Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Perimeter of a Cube
perimeter = 12*Side Go
Perimeter of a square when side is given
perimeter = 4*Side Go
Perimeter of an Equilateral Triangle
perimeter = 3*Side Go
Perimeter of a Rhombus
perimeter = 4*Side Go

Perimeter of cycloid given height Formula

perimeter = (Height/2)*(8+(2*pi))
P = (h/2)*(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 Perimeter of cycloid given height?

Perimeter of cycloid given height calculator uses perimeter = (Height/2)*(8+(2*pi)) to calculate the Perimeter, The Perimeter of cycloid given height formula is defined as the outermost parts or boundary of a concave pentagon, where p = perimeter of cycloid, a = radius of cycloid. Perimeter and is denoted by P symbol.

How to calculate Perimeter of cycloid given height using this online calculator? To use this online calculator for Perimeter of cycloid given height, enter Height (h) and hit the calculate button. Here is how the Perimeter of cycloid given height calculation can be explained with given input values -> 85.69911 = (12/2)*(8+(2*pi)).

FAQ

What is Perimeter of cycloid given height?
The Perimeter of cycloid given height formula is defined as the outermost parts or boundary of a concave pentagon, where p = perimeter of cycloid, a = radius of cycloid and is represented as P = (h/2)*(8+(2*pi)) or perimeter = (Height/2)*(8+(2*pi)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Perimeter of cycloid given height?
The Perimeter of cycloid given height formula is defined as the outermost parts or boundary of a concave pentagon, where p = perimeter of cycloid, a = radius of cycloid is calculated using perimeter = (Height/2)*(8+(2*pi)). To calculate Perimeter of cycloid given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Perimeter?
In this formula, Perimeter uses Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • perimeter = 2*Length+2*Width
  • perimeter = 4*Side
  • perimeter = 3*Side
  • perimeter = 2*Side A+2*Side B
  • perimeter = 4*Side
  • perimeter = Side A+2*Side B
  • perimeter = Side A+Side B+sqrt(Side A^2+Side B^2)
  • perimeter = 12*Side
  • perimeter = 2*(Side A+Side B)
  • perimeter = 4*Side A+4*Side B+4*Side C
  • perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2))
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