Radius of Circle of Cycloid given Perimeter Calculator

✖The Perimeter of Cycloid is the total distance around the edge of the Cycloid.ⓘ Perimeter of Cycloid [P]

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✖Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.ⓘ Radius of Circle of Cycloid given Perimeter [r_Circle]

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Radius of Circle of Cycloid given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi))
r_Circle = P/(8+(2*pi))
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Circle of Cycloid - (Measured in Meter) - Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.
Perimeter of Cycloid - (Measured in Meter) - The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Cycloid: 70 Meter --> 70 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Circle = P/(8+(2*pi)) --> 70/(8+(2*pi))

Evaluating ... ...

r_Circle = 4.90086759322613

STEP 3: Convert Result to Output's Unit

4.90086759322613 Meter --> No Conversion Required

FINAL ANSWER

4.90086759322613 ≈ 4.900868 Meter <-- Radius of Circle of Cycloid

(Calculation completed in 00.004 seconds)

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< Radius of Circle of Cycloid Calculators

Radius of Circle of Cycloid given Perimeter

LaTeX Go Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi))

Radius of Circle of Cycloid given Base Length

LaTeX Go Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi)

Radius of Circle of Cycloid given Arc Length

LaTeX Go Radius of Circle of Cycloid = Arc Length of Cycloid/8

Radius of Circle of Cycloid given Height

LaTeX Go Radius of Circle of Cycloid = Height of Cycloid/2

Radius of Circle of Cycloid given Perimeter Formula

LaTeX Go

Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi))
r_Circle = 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 Radius of Circle of Cycloid given Perimeter?

Radius of Circle of Cycloid given Perimeter calculator uses Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi)) to calculate the Radius of Circle of Cycloid, The Radius of Circle of Cycloid given Perimeter formula is defined as the straight line from the center to the circumference of a cycloid, calculated using its perimeter. Radius of Circle of Cycloid is denoted by r_Circle symbol.

How to calculate Radius of Circle of Cycloid given Perimeter using this online calculator? To use this online calculator for Radius of Circle of Cycloid given Perimeter, enter Perimeter of Cycloid (P) and hit the calculate button. Here is how the Radius of Circle of Cycloid given Perimeter calculation can be explained with given input values -> 4.900868 = 70/(8+(2*pi)).

FAQ

What is Radius of Circle of Cycloid given Perimeter?

The Radius of Circle of Cycloid given Perimeter formula is defined as the straight line from the center to the circumference of a cycloid, calculated using its perimeter and is represented as r_Circle = P/(8+(2*pi)) or Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi)). The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

How to calculate Radius of Circle of Cycloid given Perimeter?

The Radius of Circle of Cycloid given Perimeter formula is defined as the straight line from the center to the circumference of a cycloid, calculated using its perimeter is calculated using Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi)). To calculate Radius of Circle of Cycloid given Perimeter, you need Perimeter of Cycloid (P). With our tool, you need to enter the respective value for Perimeter 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 Radius of Circle of Cycloid?

In this formula, Radius of Circle of Cycloid uses Perimeter of Cycloid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Circle of Cycloid = Arc Length of Cycloid/8
Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi)
Radius of Circle of Cycloid = Height of Cycloid/2

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