FormulaDen.com

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

Area of Astroid given Radius of Rolling Circle Formula

GoArea of Astroid Formula

GoArea of Astroid given Chord Length Formula

Fx Copy

LaTeX Copy

Area of Astroid is defined as measure of the total area or region occupied by an Astroid within its four concave sides or boundaries. Check FAQs

A = \frac{3}{8} \cdot π \cdot {(4 \cdot r Rolling circle)}^{2}

A - Area of Astroid?r_{Rolling circle} - Radius of Rolling Circle of Astroid?π - Archimedes' constant?

Area of Astroid given Radius of Rolling Circle Example

With values

With units

Only example

Here is how the Area of Astroid given Radius of Rolling Circle equation looks like with Values.

Here is how the Area of Astroid given Radius of Rolling Circle equation looks like with Units.

Here is how the Area of Astroid given Radius of Rolling Circle equation looks like.

75.3982 = \frac{3}{8} \cdot 3.1416 \cdot {(4 \cdot 2)}^{2}

75.3982m² = \frac{3}{8} \cdot 3.1416 \cdot {(4 \cdot 2m)}^{2}

75.3982 = \frac{3}{8} \cdot 3.1416 \cdot {(4 \cdot 2)}^{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 Astroid given Radius of Rolling Circle

Area of Astroid given Radius of Rolling Circle Solution

Follow our step by step solution on how to calculate Area of Astroid given Radius of Rolling Circle?

FIRST Step Consider the formula

A = \frac{3}{8} \cdot π \cdot {(4 \cdot r Rolling circle)}^{2}

Next Step Substitute values of Variables

∴

A = \frac{3}{8} \cdot π \cdot {(4 \cdot 2m)}^{2}

Next Step Substitute values of Constants

∴

A = \frac{3}{8} \cdot 3.1416 \cdot {(4 \cdot 2m)}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{3}{8} \cdot 3.1416 \cdot {(4 \cdot 2)}^{2}

Next Step Evaluate

∴

A = 75.398223686155m²

LAST Step Rounding Answer

∴

A = 75.3982m²

Area of Astroid given Radius of Rolling Circle Formula Elements

Variables

Constants

Area of Astroid

Area of Astroid is defined as measure of the total area or region occupied by an Astroid within its four concave sides or boundaries.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Astroid

Radius of Rolling Circle of Astroid

Radius of Rolling Circle of Astroid is the distance from the center of the rolling circle to any point on its circumference.

Symbol: r_{Rolling circle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Rolling Circle of Astroid

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 Astroid

Go Area of Astroid

A = \frac{3}{8} \cdot π \cdot {r Fixed Circle}^{2}

Go Area of Astroid given Chord Length

A = \frac{3}{8} \cdot π \cdot {(\frac{l c}{2 \cdot \sin (\frac{π}{4})})}^{2}

Go Area of Astroid given Perimeter

A = \frac{3}{8} \cdot π \cdot {(\frac{P}{6})}^{2}

How to Evaluate Area of Astroid given Radius of Rolling Circle?

Area of Astroid given Radius of Rolling Circle evaluator uses Area of Astroid = 3/8*pi*(4*Radius of Rolling Circle of Astroid)^2 to evaluate the Area of Astroid, The Area of Astroid given Radius of Rolling Circle formula is defined as the measure of the total space enclosed inside the Astroid, calculated using the radius of the rolling circle. Area of Astroid is denoted by A symbol.

How to evaluate Area of Astroid given Radius of Rolling Circle using this online evaluator? To use this online evaluator for Area of Astroid given Radius of Rolling Circle, enter Radius of Rolling Circle of Astroid (r_{Rolling circle}) and hit the calculate button.

FAQs on Area of Astroid given Radius of Rolling Circle

What is the formula to find Area of Astroid given Radius of Rolling Circle?

The formula of Area of Astroid given Radius of Rolling Circle is expressed as Area of Astroid = 3/8*pi*(4*Radius of Rolling Circle of Astroid)^2. Here is an example- 75.39822 = 3/8*pi*(4*2)^2.

How to calculate Area of Astroid given Radius of Rolling Circle?

With Radius of Rolling Circle of Astroid (r_{Rolling circle}) we can find Area of Astroid given Radius of Rolling Circle using the formula - Area of Astroid = 3/8*pi*(4*Radius of Rolling Circle of Astroid)^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Area of Astroid?

Here are the different ways to Calculate Area of Astroid-

Area of Astroid=3/8*pi*Radius of Fixed Circle of Astroid^2
Area of Astroid=3/8*pi*(Chord Length of Astroid/(2*sin(pi/4)))^2
Area of Astroid=3/8*pi*(Perimeter of Astroid/6)^2

Can the Area of Astroid given Radius of Rolling Circle be negative?

No, the Area of Astroid given Radius of Rolling Circle, measured in Area cannot be negative.

Which unit is used to measure Area of Astroid given Radius of Rolling Circle?

Area of Astroid given Radius of Rolling Circle 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 Astroid given Radius of Rolling Circle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit