Long Diameter of Double Cycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diameter of Double Cycloid = 2*pi*Radius of Circle of Double Cycloid
DLong = 2*pi*rCircle
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Long Diameter of Double Cycloid - (Measured in Meter) - Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.
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
DLong = 2*pi*rCircle --> 2*pi*2
Evaluating ... ...
DLong = 12.5663706143592
STEP 3: Convert Result to Output's Unit
12.5663706143592 Meter --> No Conversion Required
FINAL ANSWER
12.5663706143592 12.56637 Meter <-- Long Diameter of Double Cycloid
(Calculation completed in 00.004 seconds)

Credits

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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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5 Long Diameter of Double Cycloid Calculators

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

Long Diameter of Double Cycloid Formula

Long Diameter of Double Cycloid = 2*pi*Radius of Circle of Double Cycloid
DLong = 2*pi*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 Long Diameter of Double Cycloid?

Long Diameter of Double Cycloid calculator uses Long Diameter of Double Cycloid = 2*pi*Radius of Circle of Double Cycloid to calculate the Long Diameter of Double Cycloid, The Long Diameter of Double Cycloid formula is defined as measure of distance of the long straight line passing from side to side through the center of Double Cycloid. Long Diameter of Double Cycloid is denoted by DLong symbol.

How to calculate Long Diameter of Double Cycloid using this online calculator? To use this online calculator for Long Diameter of Double Cycloid, enter Radius of Circle of Double Cycloid (rCircle) and hit the calculate button. Here is how the Long Diameter of Double Cycloid calculation can be explained with given input values -> 12.56637 = 2*pi*2.

FAQ

What is Long Diameter of Double Cycloid?
The Long Diameter of Double Cycloid formula is defined as measure of distance of the long straight line passing from side to side through the center of Double Cycloid and is represented as DLong = 2*pi*rCircle or Long Diameter of Double Cycloid = 2*pi*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 Long Diameter of Double Cycloid?
The Long Diameter of Double Cycloid formula is defined as measure of distance of the long straight line passing from side to side through the center of Double Cycloid is calculated using Long Diameter of Double Cycloid = 2*pi*Radius of Circle of Double Cycloid. To calculate Long Diameter 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 Long Diameter of Double Cycloid?
In this formula, Long Diameter 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 -
  • Long Diameter of Double Cycloid = pi/4*Arc Length of Double Cycloid
  • Long Diameter of Double Cycloid = pi/2*Short Diameter of Double Cycloid
  • Long Diameter of Double Cycloid = pi/8*Perimeter of Double Cycloid
  • Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi))
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