FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Area of Cycloid given Base Length Formula

GoArea of Cycloid Formula

GoArea of Cycloid given Arc Length Formula

Fx Copy

LaTeX Copy

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 Base}{2 \cdot π})}^{2}

A - Area of Cycloid?l_Base - Base Length of Cycloid?π - Archimedes' constant?

Area of Cycloid given Base Length Example

With values

With units

Only example

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

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

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

214.8592 = 3 \cdot 3.1416 \cdot {(\frac{30}{2 \cdot 3.1416})}^{2}

214.8592m² = 3 \cdot 3.1416 \cdot {(\frac{30m}{2 \cdot 3.1416})}^{2}

214.8592 = 3 \cdot 3.1416 \cdot {(\frac{30}{2 \cdot 3.1416})}^{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Area of Cycloid given Base Length

Area of Cycloid given Base Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 3 \cdot π \cdot {(\frac{30m}{2 \cdot π})}^{2}

Next Step Substitute values of Constants

∴

A = 3 \cdot 3.1416 \cdot {(\frac{30m}{2 \cdot 3.1416})}^{2}

Next Step Prepare to Evaluate

∴

A = 3 \cdot 3.1416 \cdot {(\frac{30}{2 \cdot 3.1416})}^{2}

Next Step Evaluate

∴

A = 214.859173174059m²

LAST Step Rounding Answer

∴

A = 214.8592m²

Area of Cycloid given Base 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

Base Length of Cycloid

The Base Length of Cycloid is the distance of the base points of the cycloid.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base 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 Arc Length

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

Area of Cycloid given Base Length evaluator uses Area of Cycloid = 3*pi*(Base Length of Cycloid/(2*pi))^2 to evaluate the Area of Cycloid, The Area of Cycloid given Base 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 base length. Area of Cycloid is denoted by A symbol.

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

FAQs on Area of Cycloid given Base Length

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

The formula of Area of Cycloid given Base Length is expressed as Area of Cycloid = 3*pi*(Base Length of Cycloid/(2*pi))^2. Here is an example- 214.8592 = 3*pi*(30/(2*pi))^2.

How to calculate Area of Cycloid given Base Length?

With Base Length of Cycloid (l_Base) we can find Area of Cycloid given Base Length using the formula - Area of Cycloid = 3*pi*(Base Length of Cycloid/(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*(Height of Cycloid/2)^2

Can the Area of Cycloid given Base Length be negative?

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

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

Area of Cycloid given Base 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 Base Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit