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Perimeter of Astroid given Chord Length Formula

GoPerimeter of Astroid Formula

GoPerimeter of Astroid given Radius of Rolling Circle Formula

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

P = 6 \cdot (\frac{l c}{2 \cdot \sin (\frac{π}{4})})

P - Perimeter of Astroid?l_c - Chord Length of Astroid?π - Archimedes' constant?

Perimeter of Astroid given Chord Length Example

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

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

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

46.669 = 6 \cdot (\frac{11}{2 \cdot \sin (\frac{3.1416}{4})})

46.669m = 6 \cdot (\frac{11m}{2 \cdot \sin (\frac{3.1416}{4})})

46.669 = 6 \cdot (\frac{11}{2 \cdot \sin (\frac{3.1416}{4})})

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Perimeter of Astroid given Chord Length Solution

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

FIRST Step Consider the formula

P = 6 \cdot (\frac{l c}{2 \cdot \sin (\frac{π}{4})})

Next Step Substitute values of Variables

∴

P = 6 \cdot (\frac{11m}{2 \cdot \sin (\frac{π}{4})})

Next Step Substitute values of Constants

∴

P = 6 \cdot (\frac{11m}{2 \cdot \sin (\frac{3.1416}{4})})

Next Step Prepare to Evaluate

∴

P = 6 \cdot (\frac{11}{2 \cdot \sin (\frac{3.1416}{4})})

Next Step Evaluate

∴

P = 46.6690475583121m

LAST Step Rounding Answer

∴

P = 46.669m

Perimeter of Astroid given Chord Length Formula Elements

Variables

Constants

Functions

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

Chord Length of Astroid

A Chord Length of Astroid is a straight line segment whose endpoints both lie on a circular arc of an Astroid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Perimeter of Astroid

Go Perimeter of Astroid

P = 6 \cdot r Fixed Circle

Go Perimeter of Astroid given Radius of Rolling Circle

P = 24 \cdot r Rolling circle

Go Perimeter of Astroid given Area

P = 6 \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}}

How to Evaluate Perimeter of Astroid given Chord Length?

Perimeter of Astroid given Chord Length evaluator uses Perimeter of Astroid = 6*(Chord Length of Astroid/(2*sin(pi/4))) to evaluate the Perimeter of Astroid, The Perimeter of Astroid given Chord Length formula is defined as the outermost parts or boundary of a concave pentagon. Perimeter of Astroid is denoted by P symbol.

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

FAQs on Perimeter of Astroid given Chord Length

What is the formula to find Perimeter of Astroid given Chord Length?

The formula of Perimeter of Astroid given Chord Length is expressed as Perimeter of Astroid = 6*(Chord Length of Astroid/(2*sin(pi/4))). Here is an example- 46.66905 = 6*(11/(2*sin(pi/4))).

How to calculate Perimeter of Astroid given Chord Length?

With Chord Length of Astroid (l_c) we can find Perimeter of Astroid given Chord Length using the formula - Perimeter of Astroid = 6*(Chord Length of Astroid/(2*sin(pi/4))). This formula also uses Archimedes' constant and Sine function(s).

What are the other ways to Calculate Perimeter of Astroid?

Here are the different ways to Calculate Perimeter of Astroid-

Perimeter of Astroid=6*Radius of Fixed Circle of Astroid
Perimeter of Astroid=24*Radius of Rolling Circle of Astroid
Perimeter of Astroid=6*sqrt((8*Area of Astroid)/(3*pi))

Can the Perimeter of Astroid given Chord Length be negative?

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

Which unit is used to measure Perimeter of Astroid given Chord Length?

Perimeter of Astroid given Chord Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Astroid given Chord Length can be measured.

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