Long Diameter of Double Cycloid given Area Calculator

✖Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.ⓘ Long Diameter of Double Cycloid given Area [D_Long]

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Formula

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Long Diameter of Double Cycloid given Area

Formula

`"D"_{"Long"} = 2*pi*sqrt("A"/(6*pi))`

Example

`"12.53314m"=2*pi*sqrt("75m²"/(6*pi))`

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Long Diameter of Double Cycloid given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi))
D_Long = 2*pi*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

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.
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

D_Long = 2*pi*sqrt(A/(6*pi)) --> 2*pi*sqrt(75/(6*pi))

Evaluating ... ...

D_Long = 12.533141373155

STEP 3: Convert Result to Output's Unit

12.533141373155 Meter --> No Conversion Required

FINAL ANSWER

12.533141373155 ≈ 12.53314 Meter <-- Long Diameter of Double Cycloid

(Calculation completed in 00.004 seconds)

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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 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 given Area Formula

Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi))
D_Long = 2*pi*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 Long Diameter of Double Cycloid given Area?

Long Diameter of Double Cycloid given Area calculator uses Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi)) to calculate the Long Diameter of Double Cycloid, The Long Diameter of Double Cycloid given Area formula is defined as the measure of the distance of the long straight line passing from side to side through the center Double Cycloid, calculated using area. Long Diameter of Double Cycloid is denoted by D_Long symbol.

How to calculate Long Diameter of Double Cycloid given Area using this online calculator? To use this online calculator for Long Diameter of Double Cycloid given Area, enter Area of Double Cycloid (A) and hit the calculate button. Here is how the Long Diameter of Double Cycloid given Area calculation can be explained with given input values -> 12.53314 = 2*pi*sqrt(75/(6*pi)).

FAQ

What is Long Diameter of Double Cycloid given Area?

The Long Diameter of Double Cycloid given Area formula is defined as the measure of the distance of the long straight line passing from side to side through the center Double Cycloid, calculated using area and is represented as D_Long = 2*pi*sqrt(A/(6*pi)) or Long Diameter of Double Cycloid = 2*pi*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 Long Diameter of Double Cycloid given Area?

The Long Diameter of Double Cycloid given Area formula is defined as the measure of the distance of the long straight line passing from side to side through the center Double Cycloid, calculated using area is calculated using Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi)). To calculate Long Diameter 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 Long Diameter of Double Cycloid?

In this formula, Long Diameter of Double Cycloid uses Area of Double Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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