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Area of Cycloid given Perimeter Formula

GoArea of Cycloid Formula

GoArea of Cycloid given Arc 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{P}{8 + (2 \cdot π)})}^{2}

A - Area of Cycloid?P - Perimeter of Cycloid?π - Archimedes' constant?

Area of Cycloid given Perimeter Example

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

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

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

226.3691 = 3 \cdot 3.1416 \cdot {(\frac{70}{8 + (2 \cdot 3.1416)})}^{2}

226.3691m² = 3 \cdot 3.1416 \cdot {(\frac{70m}{8 + (2 \cdot 3.1416)})}^{2}

226.3691 = 3 \cdot 3.1416 \cdot {(\frac{70}{8 + (2 \cdot 3.1416)})}^{2}

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Area of Cycloid given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 3 \cdot π \cdot {(\frac{70m}{8 + (2 \cdot π)})}^{2}

Next Step Substitute values of Constants

∴

A = 3 \cdot 3.1416 \cdot {(\frac{70m}{8 + (2 \cdot 3.1416)})}^{2}

Next Step Prepare to Evaluate

∴

A = 3 \cdot 3.1416 \cdot {(\frac{70}{8 + (2 \cdot 3.1416)})}^{2}

Next Step Evaluate

∴

A = 226.369059292735m²

LAST Step Rounding Answer

∴

A = 226.3691m²

Area of Cycloid given Perimeter 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

Perimeter of Cycloid

The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Arc Length

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

How to Evaluate Area of Cycloid given Perimeter?

Area of Cycloid given Perimeter evaluator uses Area of Cycloid = 3*pi*(Perimeter of Cycloid/(8+(2*pi)))^2 to evaluate the Area of Cycloid, The Area of Cycloid given Perimeter 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 perimeter. Area of Cycloid is denoted by A symbol.

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

FAQs on Area of Cycloid given Perimeter

What is the formula to find Area of Cycloid given Perimeter?

The formula of Area of Cycloid given Perimeter is expressed as Area of Cycloid = 3*pi*(Perimeter of Cycloid/(8+(2*pi)))^2. Here is an example- 226.3691 = 3*pi*(70/(8+(2*pi)))^2.

How to calculate Area of Cycloid given Perimeter?

With Perimeter of Cycloid (P) we can find Area of Cycloid given Perimeter using the formula - Area of Cycloid = 3*pi*(Perimeter of Cycloid/(8+(2*pi)))^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*(Arc Length of Cycloid/8)^2
Area of Cycloid=3*pi*(Base Length of Cycloid/(2*pi))^2

Can the Area of Cycloid given Perimeter be negative?

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

Which unit is used to measure Area of Cycloid given Perimeter?

Area of Cycloid given Perimeter 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 Perimeter can be measured.

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