Perimeter of Cycloid given Arc Length Calculator

✖Arc Length of Cycloid is the distance between two points along a section of a curve.ⓘ Arc Length of Cycloid [l_Arc]

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

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Perimeter of Cycloid given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8
P = (8+(2*pi))*l_Arc/8
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Perimeter of Cycloid - (Measured in Meter) - The Perimeter of Cycloid is the total distance around the edge of the Cycloid.
Arc Length of Cycloid - (Measured in Meter) - Arc Length of Cycloid is the distance between two points along a section of a curve.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Cycloid: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (8+(2*pi))*l_Arc/8 --> (8+(2*pi))*40/8

Evaluating ... ...

P = 71.4159265358979

STEP 3: Convert Result to Output's Unit

71.4159265358979 Meter --> No Conversion Required

FINAL ANSWER

71.4159265358979 ≈ 71.41593 Meter <-- Perimeter of Cycloid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Perimeter of Cycloid Calculators

Perimeter of Cycloid given Base Length

LaTeX Go Perimeter of Cycloid = (8+(2*pi))*Base Length of Cycloid/(2*pi)

Perimeter of Cycloid

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

Perimeter of Cycloid given Arc Length

LaTeX Go Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8

Perimeter of Cycloid given Height

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

Perimeter of Cycloid given Arc Length Formula

LaTeX Go

Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8
P = (8+(2*pi))*l_Arc/8

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 Arc Length?

Perimeter of Cycloid given Arc Length calculator uses Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8 to calculate the Perimeter of Cycloid, The Perimeter of Cycloid given Arc Length formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using its arc length. Perimeter of Cycloid is denoted by P symbol.

How to calculate Perimeter of Cycloid given Arc Length using this online calculator? To use this online calculator for Perimeter of Cycloid given Arc Length, enter Arc Length of Cycloid (l_Arc) and hit the calculate button. Here is how the Perimeter of Cycloid given Arc Length calculation can be explained with given input values -> 71.41593 = (8+(2*pi))*40/8.

FAQ

What is Perimeter of Cycloid given Arc Length?

The Perimeter of Cycloid given Arc Length formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using its arc length and is represented as P = (8+(2*pi))*l_Arc/8 or Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8. Arc Length of Cycloid is the distance between two points along a section of a curve.

How to calculate Perimeter of Cycloid given Arc Length?

The Perimeter of Cycloid given Arc Length formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using its arc length is calculated using Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8. To calculate Perimeter of Cycloid given Arc Length, you need Arc Length of Cycloid (l_Arc). With our tool, you need to enter the respective value for Arc 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 Perimeter of Cycloid?

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

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

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