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Arc Length of Double Cycloid given Area Formula

GoArc Length of Double Cycloid Formula

GoArc Length of Double Cycloid given Long Diameter Formula

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The Arc Length of Double Cycloid is the distance between two points along a section of a curve. Check FAQs

l Arc = 8 \cdot \sqrt{\frac{A}{6 \cdot π}}

l_Arc - Arc Length of Double Cycloid?A - Area of Double Cycloid?π - Archimedes' constant?

Arc Length of Double Cycloid given Area Example

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Here is how the Arc Length of Double Cycloid given Area equation looks like with Values.

Here is how the Arc Length of Double Cycloid given Area equation looks like with Units.

Here is how the Arc Length of Double Cycloid given Area equation looks like.

15.9577 = 8 \cdot \sqrt{\frac{75}{6 \cdot 3.1416}}

15.9577m = 8 \cdot \sqrt{\frac{75m²}{6 \cdot 3.1416}}

15.9577 = 8 \cdot \sqrt{\frac{75}{6 \cdot 3.1416}}

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Arc Length of Double Cycloid given Area Solution

Follow our step by step solution on how to calculate Arc Length of Double Cycloid given Area?

FIRST Step Consider the formula

l Arc = 8 \cdot \sqrt{\frac{A}{6 \cdot π}}

Next Step Substitute values of Variables

∴

l Arc = 8 \cdot \sqrt{\frac{75m²}{6 \cdot π}}

Next Step Substitute values of Constants

∴

l Arc = 8 \cdot \sqrt{\frac{75m²}{6 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

l Arc = 8 \cdot \sqrt{\frac{75}{6 \cdot 3.1416}}

Next Step Evaluate

∴

l Arc = 15.9576912160573m

LAST Step Rounding Answer

∴

l Arc = 15.9577m

Arc Length of Double Cycloid given Area Formula Elements

Variables

Constants

Functions

Arc Length of Double Cycloid

The Arc Length of Double Cycloid is the distance between two points along a section of a curve.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length 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 Arc Length of Double Cycloid

Go Arc Length of Double Cycloid

l Arc = 8 \cdot r Circle

Go Arc Length of Double Cycloid given Long Diameter

l Arc = 4 \cdot \frac{D Long}{π}

Go Arc Length of Double Cycloid given Short Diameter

l Arc = 2 \cdot D Short

Go Arc Length of Double Cycloid given Perimeter

l Arc = \frac{P}{2}

How to Evaluate Arc Length of Double Cycloid given Area?

Arc Length of Double Cycloid given Area evaluator uses Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi)) to evaluate 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 l_Arc symbol.

How to evaluate Arc Length of Double Cycloid given Area using this online evaluator? To use this online evaluator for Arc Length of Double Cycloid given Area, enter Area of Double Cycloid (A) and hit the calculate button.

FAQs on Arc Length of Double Cycloid given Area

What is the formula to find Arc Length of Double Cycloid given Area?

The formula of Arc Length of Double Cycloid given Area is expressed as Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi)). Here is an example- 15.95769 = 8*sqrt(75/(6*pi)).

How to calculate Arc Length of Double Cycloid given Area?

With Area of Double Cycloid (A) we can find Arc Length of Double Cycloid given Area using the formula - Arc Length of Double Cycloid = 8*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 Arc Length of Double Cycloid?

Here are the different ways to Calculate Arc Length of Double Cycloid-

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

Can the Arc Length of Double Cycloid given Area be negative?

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

Which unit is used to measure Arc Length of Double Cycloid given Area?

Arc Length 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 Arc Length of Double Cycloid given Area can be measured.

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