Arc Length of Double Cycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid
lArc = 8*rCircle
This formula uses 2 Variables
Variables Used
Arc Length of Double Cycloid - (Measured in Meter) - The Arc Length of Double Cycloid is the distance between two points along a section of a curve.
Radius of Circle of Double Cycloid - (Measured in Meter) - The Radius of Circle of Double Cycloid is a radial line from the focus of circle to any point of a curve.
STEP 1: Convert Input(s) to Base Unit
Radius of Circle of Double Cycloid: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lArc = 8*rCircle --> 8*2
Evaluating ... ...
lArc = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Arc Length of Double Cycloid
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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5 Arc Length of Double Cycloid Calculators

Arc Length of Double Cycloid given Area
Go Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi))
Arc Length of Double Cycloid given Long Diameter
Go Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi
Arc Length of Double Cycloid
Go Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid
Arc Length of Double Cycloid given Short Diameter
Go Arc Length of Double Cycloid = 2*Short Diameter of Double Cycloid
Arc Length of Double Cycloid given Perimeter
Go Arc Length of Double Cycloid = Perimeter of Double Cycloid/2

Arc Length of Double Cycloid Formula

Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid
lArc = 8*rCircle

What is a Double Cycloid?

A Double Cycloid is a cycloid mirrored at its straight side. It is a curve traced by a point on a circle as it rolls along a straight line without slipping. The double cycloid looks like a mix of the ellipse and pointed oval, but it has no vertices.

How to Calculate Arc Length of Double Cycloid?

Arc Length of Double Cycloid calculator uses Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid to calculate the Arc Length of Double Cycloid, The Arc Length of Double Cycloid formula is defined as the distance between two points along a section of a curve. Arc Length of Double Cycloid is denoted by lArc symbol.

How to calculate Arc Length of Double Cycloid using this online calculator? To use this online calculator for Arc Length of Double Cycloid, enter Radius of Circle of Double Cycloid (rCircle) and hit the calculate button. Here is how the Arc Length of Double Cycloid calculation can be explained with given input values -> 16 = 8*2.

FAQ

What is Arc Length of Double Cycloid?
The Arc Length of Double Cycloid formula is defined as the distance between two points along a section of a curve and is represented as lArc = 8*rCircle or Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid. The Radius of Circle of Double Cycloid is a radial line from the focus of circle to any point of a curve.
How to calculate Arc Length of Double Cycloid?
The Arc Length of Double Cycloid formula is defined as the distance between two points along a section of a curve is calculated using Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid. To calculate Arc Length of Double Cycloid, you need Radius of Circle of Double Cycloid (rCircle). With our tool, you need to enter the respective value for Radius of Circle of Double 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 Arc Length of Double Cycloid?
In this formula, Arc Length of Double Cycloid uses Radius of Circle of Double Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi
  • Arc Length of Double Cycloid = 2*Short Diameter of Double Cycloid
  • Arc Length of Double Cycloid = Perimeter of Double Cycloid/2
  • Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi))
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