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Area of Astroid given Perimeter Formula

GoArea of Astroid Formula

GoArea of Astroid given Chord Length Formula

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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 {(\frac{P}{6})}^{2}

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

Area of Astroid given Perimeter Example

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

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

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

81.8123 = \frac{3}{8} \cdot 3.1416 \cdot {(\frac{50}{6})}^{2}

81.8123m² = \frac{3}{8} \cdot 3.1416 \cdot {(\frac{50m}{6})}^{2}

81.8123 = \frac{3}{8} \cdot 3.1416 \cdot {(\frac{50}{6})}^{2}

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Area of Astroid given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{3}{8} \cdot π \cdot {(\frac{50m}{6})}^{2}

Next Step Substitute values of Constants

∴

A = \frac{3}{8} \cdot 3.1416 \cdot {(\frac{50m}{6})}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{3}{8} \cdot 3.1416 \cdot {(\frac{50}{6})}^{2}

Next Step Evaluate

∴

A = 81.8123086872342m²

LAST Step Rounding Answer

∴

A = 81.8123m²

Area of Astroid given Perimeter 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

Perimeter of Astroid

The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Radius of Rolling Circle

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

How to Evaluate Area of Astroid given Perimeter?

Area of Astroid given Perimeter evaluator uses Area of Astroid = 3/8*pi*(Perimeter of Astroid/6)^2 to evaluate the Area of Astroid, The Area of Astroid given perimeter formula is defined as the measure of the total area that the surface of the object occupies of an Astroid, calculated using the perimeter of it. Area of Astroid is denoted by A symbol.

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

FAQs on Area of Astroid given Perimeter

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

The formula of Area of Astroid given Perimeter is expressed as Area of Astroid = 3/8*pi*(Perimeter of Astroid/6)^2. Here is an example- 81.81231 = 3/8*pi*(50/6)^2.

How to calculate Area of Astroid given Perimeter?

With Perimeter of Astroid (P) we can find Area of Astroid given Perimeter using the formula - Area of Astroid = 3/8*pi*(Perimeter of Astroid/6)^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*(4*Radius of Rolling Circle of Astroid)^2

Can the Area of Astroid given Perimeter be negative?

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

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

Area of Astroid 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 Astroid given Perimeter can be measured.

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