Radius of Circle of Cycloid given Base Length Calculator

✖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 Base Length [r_Circle]

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Formula

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Radius of Circle of Cycloid given Base Length

Formula

`"r"_{"Circle"} = "l"_{"Base"}/(2*pi)`

Example

`"4.774648m"="30m"/(2*pi)`

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Radius of Circle of Cycloid given Base Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi)
r_Circle = l_Base/(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.
Base Length of Cycloid - (Measured in Meter) - The Base Length of Cycloid is the distance of the base points of the cycloid.

STEP 1: Convert Input(s) to Base Unit

Base Length of Cycloid: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Circle = l_Base/(2*pi) --> 30/(2*pi)

Evaluating ... ...

r_Circle = 4.77464829275686

STEP 3: Convert Result to Output's Unit

4.77464829275686 Meter --> No Conversion Required

FINAL ANSWER

4.77464829275686 ≈ 4.774648 Meter <-- Radius of Circle of Cycloid

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 5 Radius of Circle of Cycloid Calculators

Radius of Circle of Cycloid given Area

Go Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi))

Radius of Circle of Cycloid given Perimeter

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

Radius of Circle of Cycloid given Base Length

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

Radius of Circle of Cycloid given Arc Length

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

Radius of Circle of Cycloid given Height

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

Radius of Circle of Cycloid given Base Length Formula

Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi)
r_Circle = l_Base/(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 Base Length?

Radius of Circle of Cycloid given Base Length calculator uses Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi) to calculate the Radius of Circle of Cycloid, The Radius of Circle of Cycloid given Base Length formula is defined as the straight line from the center to the circumference of a Cycloid, calculated using base length. Radius of Circle of Cycloid is denoted by r_Circle symbol.

How to calculate Radius of Circle of Cycloid given Base Length using this online calculator? To use this online calculator for Radius of Circle of Cycloid given Base Length, enter Base Length of Cycloid (l_Base) and hit the calculate button. Here is how the Radius of Circle of Cycloid given Base Length calculation can be explained with given input values -> 4.774648 = 30/(2*pi).

FAQ

What is Radius of Circle of Cycloid given Base Length?

The Radius of Circle of Cycloid given Base Length formula is defined as the straight line from the center to the circumference of a Cycloid, calculated using base length and is represented as r_Circle = l_Base/(2*pi) or Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi). The Base Length of Cycloid is the distance of the base points of the cycloid.

How to calculate Radius of Circle of Cycloid given Base Length?

The Radius of Circle of Cycloid given Base Length formula is defined as the straight line from the center to the circumference of a Cycloid, calculated using base length is calculated using Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi). To calculate Radius of Circle of Cycloid given Base Length, you need Base Length of Cycloid (l_Base). With our tool, you need to enter the respective value for Base Length 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 Base Length of Cycloid. We can use 4 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 = Height of Cycloid/2
Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi))
Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi))

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