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Arc Length of Cycloid given Area Formula

GoArc Length of Cycloid Formula

GoArc Length of Cycloid given Base Length Formula

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

l Arc = 8 \cdot \sqrt{\frac{A}{3 \cdot π}}

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

Arc Length of Cycloid given Area Example

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

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

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

39.9474 = 8 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

39.9474m = 8 \cdot \sqrt{\frac{235m²}{3 \cdot 3.1416}}

39.9474 = 8 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

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Arc Length of Cycloid given Area Solution

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

FIRST Step Consider the formula

l Arc = 8 \cdot \sqrt{\frac{A}{3 \cdot π}}

Next Step Substitute values of Variables

∴

l Arc = 8 \cdot \sqrt{\frac{235m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

l Arc = 8 \cdot \sqrt{\frac{235m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

l Arc = 8 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

Next Step Evaluate

∴

l Arc = 39.9473849298641m

LAST Step Rounding Answer

∴

l Arc = 39.9474m

Arc Length of Cycloid given Area Formula Elements

Variables

Constants

Functions

Arc Length of Cycloid

Arc Length of 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 Cycloid

Area of Cycloid

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of 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 Cycloid

Go Arc Length of Cycloid

l Arc = 8 \cdot r Circle

Go Arc Length of Cycloid given Base Length

l Arc = \frac{4 \cdot l Base}{π}

Go Arc Length of Cycloid given Height

l Arc = 4 \cdot h

Go Arc Length of Cycloid given Perimeter

l Arc = \frac{8 \cdot P}{8 + (2 \cdot π)}

How to Evaluate Arc Length of Cycloid given Area?

Arc Length of Cycloid given Area evaluator uses Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi)) to evaluate 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 evaluate Arc Length of Cycloid given Area using this online evaluator? To use this online evaluator for Arc Length of Cycloid given Area, enter Area of Cycloid (A) and hit the calculate button.

FAQs on Arc Length of Cycloid given Area

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

The formula of Arc Length of Cycloid given Area is expressed as Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi)). Here is an example- 39.94738 = 8*sqrt(235/(3*pi)).

How to calculate Arc Length of Cycloid given Area?

With Area of Cycloid (A) we can find Arc Length of Cycloid given Area using the formula - Arc Length of Cycloid = 8*sqrt(Area of Cycloid/(3*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Arc Length of Cycloid?

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

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

Can the Arc Length of Cycloid given Area be negative?

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

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

Arc Length of 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 Cycloid given Area can be measured.

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