Arc Length of Cycloid given Area Calculator

✖The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.ⓘ Area of Cycloid [A]

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

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Arc Length of Cycloid given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi))
l_Arc = 8*sqrt(A/(3*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 Cycloid - (Measured in Meter) - Arc Length of Cycloid is the distance between two points along a section of a curve.
Area of Cycloid - (Measured in Square Meter) - The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

STEP 1: Convert Input(s) to Base Unit

Area of Cycloid: 235 Square Meter --> 235 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = 8*sqrt(A/(3*pi)) --> 8*sqrt(235/(3*pi))

Evaluating ... ...

l_Arc = 39.9473849298641

STEP 3: Convert Result to Output's Unit

39.9473849298641 Meter --> No Conversion Required

FINAL ANSWER

39.9473849298641 ≈ 39.94738 Meter <-- Arc Length of Cycloid

(Calculation completed in 00.006 seconds)

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< Arc Length of Cycloid Calculators

Arc Length of Cycloid given Perimeter

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

Arc Length of Cycloid given Base Length

LaTeX Go Arc Length of Cycloid = (4*Base Length of Cycloid)/pi

Arc Length of Cycloid

LaTeX Go Arc Length of Cycloid = 8*Radius of Circle of Cycloid

Arc Length of Cycloid given Height

LaTeX Go Arc Length of Cycloid = 4*Height of Cycloid

Arc Length of Cycloid given Area Formula

LaTeX Go

Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi))
l_Arc = 8*sqrt(A/(3*pi))

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 Arc Length of Cycloid given Area?

Arc Length of Cycloid given Area calculator uses Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi)) to calculate the Arc Length of Cycloid, The Arc Length of 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 Cycloid is denoted by l_Arc symbol.

How to calculate Arc Length of Cycloid given Area using this online calculator? To use this online calculator for Arc Length of Cycloid given Area, enter Area of Cycloid (A) and hit the calculate button. Here is how the Arc Length of Cycloid given Area calculation can be explained with given input values -> 39.94738 = 8*sqrt(235/(3*pi)).

FAQ

What is Arc Length of Cycloid given Area?

The Arc Length of 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 l_Arc = 8*sqrt(A/(3*pi)) or Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi)). The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

How to calculate Arc Length of Cycloid given Area?

The Arc Length of 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 Cycloid = 8*sqrt(Area of Cycloid/(3*pi)). To calculate Arc Length of Cycloid given Area, you need Area of Cycloid (A). With our tool, you need to enter the respective value for Area 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 Arc Length of Cycloid?

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

Arc Length of Cycloid = 8*Radius of Circle of Cycloid
Arc Length of Cycloid = (4*Base Length of Cycloid)/pi
Arc Length of Cycloid = 4*Height of Cycloid

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