Arc Length of Double Cycloid given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi))
lArc = 8*sqrt(A/(6*pi))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Area of Double Cycloid - (Measured in Square Meter) - Area of Double Cycloid is the amount of two-dimensional space taken up by the Double Cycloid.
STEP 1: Convert Input(s) to Base Unit
Area of Double Cycloid: 75 Square Meter --> 75 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lArc = 8*sqrt(A/(6*pi)) --> 8*sqrt(75/(6*pi))
Evaluating ... ...
lArc = 15.9576912160573
STEP 3: Convert Result to Output's Unit
15.9576912160573 Meter --> No Conversion Required
FINAL ANSWER
15.9576912160573 15.95769 Meter <-- Arc Length of Double Cycloid
(Calculation completed in 00.004 seconds)

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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 given Area Formula

Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi))
lArc = 8*sqrt(A/(6*pi))

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 given Area?

Arc Length of Double Cycloid given Area calculator uses Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi)) to calculate the Arc Length of Double Cycloid, The Arc Length of Double Cycloid given Area formula is defined as the distance between two points along a section of a curve, calculated using its area. Arc Length of Double Cycloid is denoted by lArc symbol.

How to calculate Arc Length of Double Cycloid given Area using this online calculator? To use this online calculator for Arc Length of Double Cycloid given Area, enter Area of Double Cycloid (A) and hit the calculate button. Here is how the Arc Length of Double Cycloid given Area calculation can be explained with given input values -> 15.95769 = 8*sqrt(75/(6*pi)).

FAQ

What is Arc Length of Double Cycloid given Area?
The Arc Length of Double Cycloid given Area formula is defined as the distance between two points along a section of a curve, calculated using its area and is represented as lArc = 8*sqrt(A/(6*pi)) or Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi)). Area of Double Cycloid is the amount of two-dimensional space taken up by the Double Cycloid.
How to calculate Arc Length of Double Cycloid given Area?
The Arc Length of Double Cycloid given Area formula is defined as the distance between two points along a section of a curve, calculated using its area is calculated using Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi)). To calculate Arc Length of Double Cycloid given Area, you need Area of Double Cycloid (A). With our tool, you need to enter the respective value for Area 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 Area of Double Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid
  • 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
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