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## Arc length of double cycloid given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = 8*(sqrt(Area/(6*pi)))
s = 8*(sqrt(A/(6*pi)))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = 8*(sqrt(A/(6*pi))) --> 8*(sqrt(50/(6*pi)))
Evaluating ... ...
s = 13.0294003174112
STEP 3: Convert Result to Output's Unit
13.0294003174112 Meter --> No Conversion Required
13.0294003174112 Meter <-- Arc Length
(Calculation completed in 00.016 seconds)

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## < 11 Other formulas that calculate the same Output

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arc_length = 2*pi*(Area/pi)^(0.5) Go
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### Arc length of double cycloid given area Formula

arc_length = 8*(sqrt(Area/(6*pi)))
s = 8*(sqrt(A/(6*pi)))

## What is a double 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), double cycloid is a cycloid mirrored at its straight side. The double cycloid looks like a mix of 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 = 8*(sqrt(Area/(6*pi))) to calculate the Arc Length, The Arc length of double cycloid given area formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of double cycloid, a = radius of double cycloid. Arc Length and is denoted by s 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 (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 -> 13.0294 = 8*(sqrt(50/(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, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of double cycloid, a = radius of double cycloid and is represented as s = 8*(sqrt(A/(6*pi))) or arc_length = 8*(sqrt(Area/(6*pi))). The area is the amount of two-dimensional space taken up by an object.
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, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of double cycloid, a = radius of double cycloid is calculated using arc_length = 8*(sqrt(Area/(6*pi))). To calculate Arc length of double cycloid given area, you need Area (A). With our tool, you need to enter the respective value for Area 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?
In this formula, Arc Length uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -