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Chord Length of Astroid Formula

GoChord Length of Astroid given Area Formula

GoChord Length of Astroid given Perimeter Formula

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

l c = 2 \cdot r Fixed Circle \cdot \sin (\frac{π}{4})

l_c - Chord Length of Astroid?r_{Fixed Circle} - Radius of Fixed Circle of Astroid?π - Archimedes' constant?

Chord Length of Astroid Example

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

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

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

11.3137 = 2 \cdot 8 \cdot \sin (\frac{3.1416}{4})

11.3137m = 2 \cdot 8m \cdot \sin (\frac{3.1416}{4})

11.3137 = 2 \cdot 8 \cdot \sin (\frac{3.1416}{4})

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Chord Length of Astroid Solution

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

FIRST Step Consider the formula

l c = 2 \cdot r Fixed Circle \cdot \sin (\frac{π}{4})

Next Step Substitute values of Variables

∴

l c = 2 \cdot 8m \cdot \sin (\frac{π}{4})

Next Step Substitute values of Constants

∴

l c = 2 \cdot 8m \cdot \sin (\frac{3.1416}{4})

Next Step Prepare to Evaluate

∴

l c = 2 \cdot 8 \cdot \sin (\frac{3.1416}{4})

Next Step Evaluate

∴

l c = 11.3137084989848m

LAST Step Rounding Answer

∴

l c = 11.3137m

Chord Length of Astroid Formula Elements

Variables

Constants

Functions

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

Radius of Fixed Circle of Astroid

The Radius of Fixed Circle of Astroid is the distance from the center of the fixed circle to any point on its circumference.

Symbol: r_{Fixed Circle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Fixed 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

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 Chord Length of Astroid

Go Chord Length of Astroid given Area

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

Go Chord Length of Astroid given Perimeter

l c = \frac{P}{3} \cdot \sin (\frac{π}{4})

Go Chord Length of Astroid given Radius of Rolling Circle

l c = 8 \cdot r Rolling circle \cdot \sin (\frac{π}{4})

How to Evaluate Chord Length of Astroid?

Chord Length of Astroid evaluator uses Chord Length of Astroid = 2*Radius of Fixed Circle of Astroid*sin(pi/4) to evaluate the Chord Length of Astroid, The Chord Length of Astroid formula is defined as the length of the straight line segment whose both end points lie on the curve of Astroid. Chord Length of Astroid is denoted by l_c symbol.

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

FAQs on Chord Length of Astroid

What is the formula to find Chord Length of Astroid?

The formula of Chord Length of Astroid is expressed as Chord Length of Astroid = 2*Radius of Fixed Circle of Astroid*sin(pi/4). Here is an example- 11.31371 = 2*8*sin(pi/4).

How to calculate Chord Length of Astroid?

With Radius of Fixed Circle of Astroid (r_{Fixed Circle}) we can find Chord Length of Astroid using the formula - Chord Length of Astroid = 2*Radius of Fixed Circle of Astroid*sin(pi/4). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Chord Length of Astroid?

Here are the different ways to Calculate Chord Length of Astroid-

Chord Length of Astroid=2*sqrt((8*Area of Astroid)/(3*pi))*sin(pi/4)
Chord Length of Astroid=Perimeter of Astroid/3*sin(pi/4)
Chord Length of Astroid=8*Radius of Rolling Circle of Astroid*sin(pi/4)

Can the Chord Length of Astroid be negative?

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

Which unit is used to measure Chord Length of Astroid?

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

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