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Area of Cycloid given Arc Length Formula

GoArea of Cycloid Formula

GoArea of Cycloid given Base Length Formula

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

A = 3 \cdot π \cdot {(\frac{l Arc}{8})}^{2}

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

Area of Cycloid given Arc Length Example

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

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

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

235.6194 = 3 \cdot 3.1416 \cdot {(\frac{40}{8})}^{2}

235.6194m² = 3 \cdot 3.1416 \cdot {(\frac{40m}{8})}^{2}

235.6194 = 3 \cdot 3.1416 \cdot {(\frac{40}{8})}^{2}

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Area of Cycloid given Arc Length Solution

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

FIRST Step Consider the formula

A = 3 \cdot π \cdot {(\frac{l Arc}{8})}^{2}

Next Step Substitute values of Variables

∴

A = 3 \cdot π \cdot {(\frac{40m}{8})}^{2}

Next Step Substitute values of Constants

∴

A = 3 \cdot 3.1416 \cdot {(\frac{40m}{8})}^{2}

Next Step Prepare to Evaluate

∴

A = 3 \cdot 3.1416 \cdot {(\frac{40}{8})}^{2}

Next Step Evaluate

∴

A = 235.619449019234m²

LAST Step Rounding Answer

∴

A = 235.6194m²

Area of Cycloid given Arc Length Formula Elements

Variables

Constants

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

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

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

Other Formulas to find Area of Cycloid

Go Area of Cycloid

A = 3 \cdot π \cdot {r Circle}^{2}

Go Area of Cycloid given Base Length

A = 3 \cdot π \cdot {(\frac{l Base}{2 \cdot π})}^{2}

Go Area of Cycloid given Height

A = 3 \cdot π \cdot {(\frac{h}{2})}^{2}

Go Area of Cycloid given Perimeter

A = 3 \cdot π \cdot {(\frac{P}{8 + (2 \cdot π)})}^{2}

How to Evaluate Area of Cycloid given Arc Length?

Area of Cycloid given Arc Length evaluator uses Area of Cycloid = 3*pi*(Arc Length of Cycloid/8)^2 to evaluate the Area of Cycloid, The Area of Cycloid given Arc Length formula is defined as the measure of the total 2-D space that the surface of the object occupies of a Cycloid, calculated using its arc length. Area of Cycloid is denoted by A symbol.

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

FAQs on Area of Cycloid given Arc Length

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

The formula of Area of Cycloid given Arc Length is expressed as Area of Cycloid = 3*pi*(Arc Length of Cycloid/8)^2. Here is an example- 235.6194 = 3*pi*(40/8)^2.

How to calculate Area of Cycloid given Arc Length?

With Arc Length of Cycloid (l_Arc) we can find Area of Cycloid given Arc Length using the formula - Area of Cycloid = 3*pi*(Arc Length of Cycloid/8)^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Area of Cycloid?

Here are the different ways to Calculate Area of Cycloid-

Area of Cycloid=3*pi*Radius of Circle of Cycloid^2
Area of Cycloid=3*pi*(Base Length of Cycloid/(2*pi))^2
Area of Cycloid=3*pi*(Height of Cycloid/2)^2

Can the Area of Cycloid given Arc Length be negative?

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

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

Area of Cycloid given Arc Length is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Cycloid given Arc Length can be measured.

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