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Long Diameter of Double Cycloid given Area Formula

GoLong Diameter of Double Cycloid Formula

GoLong Diameter of Double Cycloid given Arc Length Formula

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Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid. Check FAQs

D Long = 2 \cdot π \cdot \sqrt{\frac{A}{6 \cdot π}}

D_Long - Long Diameter of Double Cycloid?A - Area of Double Cycloid?π - Archimedes' constant?

Long Diameter of Double Cycloid given Area Example

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Here is how the Long Diameter of Double Cycloid given Area equation looks like with Values.

Here is how the Long Diameter of Double Cycloid given Area equation looks like with Units.

Here is how the Long Diameter of Double Cycloid given Area equation looks like.

12.5331 = 2 \cdot 3.1416 \cdot \sqrt{\frac{75}{6 \cdot 3.1416}}

12.5331m = 2 \cdot 3.1416 \cdot \sqrt{\frac{75m²}{6 \cdot 3.1416}}

12.5331 = 2 \cdot 3.1416 \cdot \sqrt{\frac{75}{6 \cdot 3.1416}}

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Long Diameter of Double Cycloid given Area Solution

Follow our step by step solution on how to calculate Long Diameter of Double Cycloid given Area?

FIRST Step Consider the formula

D Long = 2 \cdot π \cdot \sqrt{\frac{A}{6 \cdot π}}

Next Step Substitute values of Variables

∴

D Long = 2 \cdot π \cdot \sqrt{\frac{75m²}{6 \cdot π}}

Next Step Substitute values of Constants

∴

D Long = 2 \cdot 3.1416 \cdot \sqrt{\frac{75m²}{6 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

D Long = 2 \cdot 3.1416 \cdot \sqrt{\frac{75}{6 \cdot 3.1416}}

Next Step Evaluate

∴

D Long = 12.533141373155m

LAST Step Rounding Answer

∴

D Long = 12.5331m

Long Diameter of Double Cycloid given Area Formula Elements

Variables

Constants

Functions

Long Diameter of Double Cycloid

Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.

Symbol: D_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diameter of Double Cycloid

Area of Double Cycloid

Area of Double Cycloid is the amount of two-dimensional space taken up by the Double Cycloid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Double Cycloid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Long Diameter of Double Cycloid

Go Long Diameter of Double Cycloid

D Long = 2 \cdot π \cdot r Circle

Go Long Diameter of Double Cycloid given Arc Length

D Long = \frac{π}{4} \cdot l Arc

Go Long Diameter of Double Cycloid given Short Diameter

D Long = \frac{π}{2} \cdot D Short

Go Long Diameter of Double Cycloid given Perimeter

D Long = \frac{π}{8} \cdot P

How to Evaluate Long Diameter of Double Cycloid given Area?

Long Diameter of Double Cycloid given Area evaluator uses Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi)) to evaluate 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 evaluate Long Diameter of Double Cycloid given Area using this online evaluator? To use this online evaluator for Long Diameter of Double Cycloid given Area, enter Area of Double Cycloid (A) and hit the calculate button.

FAQs on Long Diameter of Double Cycloid given Area

What is the formula to find Long Diameter of Double Cycloid given Area?

The formula of Long Diameter of Double Cycloid given Area is expressed as Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi)). Here is an example- 12.53314 = 2*pi*sqrt(75/(6*pi)).

How to calculate Long Diameter of Double Cycloid given Area?

With Area of Double Cycloid (A) we can find Long Diameter of Double Cycloid given Area using the formula - Long Diameter of Double Cycloid = 2*pi*sqrt(Area of Double Cycloid/(6*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Long Diameter of Double Cycloid?

Here are the different ways to Calculate Long Diameter of Double Cycloid-

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

Can the Long Diameter of Double Cycloid given Area be negative?

No, the Long Diameter of Double Cycloid given Area, measured in Length cannot be negative.

Which unit is used to measure Long Diameter of Double Cycloid given Area?

Long Diameter of Double Cycloid given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Diameter of Double Cycloid given Area can be measured.

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