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Radius of Fixed Circle of Astroid given Chord Length Formula

GoRadius of Fixed Circle of Astroid Formula

GoRadius of Fixed Circle of Astroid given Area Formula

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

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

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

Radius of Fixed Circle of Astroid given Chord Length Example

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Here is how the Radius of Fixed Circle of Astroid given Chord Length equation looks like with Values.

Here is how the Radius of Fixed Circle of Astroid given Chord Length equation looks like with Units.

Here is how the Radius of Fixed Circle of Astroid given Chord Length equation looks like.

7.7782 = \frac{11}{2 \cdot \sin (\frac{3.1416}{4})}

7.7782m = \frac{11m}{2 \cdot \sin (\frac{3.1416}{4})}

7.7782 = \frac{11}{2 \cdot \sin (\frac{3.1416}{4})}

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Radius of Fixed Circle of Astroid given Chord Length Solution

Follow our step by step solution on how to calculate Radius of Fixed Circle of Astroid given Chord Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Fixed Circle = \frac{11m}{2 \cdot \sin (\frac{π}{4})}

Next Step Substitute values of Constants

∴

r Fixed Circle = \frac{11m}{2 \cdot \sin (\frac{3.1416}{4})}

Next Step Prepare to Evaluate

∴

r Fixed Circle = \frac{11}{2 \cdot \sin (\frac{3.1416}{4})}

Next Step Evaluate

∴

r Fixed Circle = 7.77817459305202m

LAST Step Rounding Answer

∴

r Fixed Circle = 7.7782m

Radius of Fixed Circle of Astroid given Chord Length Formula Elements

Variables

Constants

Functions

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

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 Radius of Fixed Circle of Astroid

Go Radius of Fixed Circle of Astroid

r Fixed Circle = 4 \cdot r Rolling circle

Go Radius of Fixed Circle of Astroid given Area

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

Go Radius of Fixed Circle of Astroid given Perimeter

r Fixed Circle = \frac{P}{6}

How to Evaluate Radius of Fixed Circle of Astroid given Chord Length?

Radius of Fixed Circle of Astroid given Chord Length evaluator uses Radius of Fixed Circle of Astroid = Chord Length of Astroid/(2*sin(pi/4)) to evaluate the Radius of Fixed Circle of Astroid, The Radius of Fixed Circle of Astroid given Chord Length formula is defined as the length of the straight line from the center to the circumference of an Astroid, calculated using its chord length. Radius of Fixed Circle of Astroid is denoted by r_{Fixed Circle} symbol.

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

FAQs on Radius of Fixed Circle of Astroid given Chord Length

What is the formula to find Radius of Fixed Circle of Astroid given Chord Length?

The formula of Radius of Fixed Circle of Astroid given Chord Length is expressed as Radius of Fixed Circle of Astroid = Chord Length of Astroid/(2*sin(pi/4)). Here is an example- 7.778175 = 11/(2*sin(pi/4)).

How to calculate Radius of Fixed Circle of Astroid given Chord Length?

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

What are the other ways to Calculate Radius of Fixed Circle of Astroid?

Here are the different ways to Calculate Radius of Fixed Circle of Astroid-

Radius of Fixed Circle of Astroid=4*Radius of Rolling Circle of Astroid
Radius of Fixed Circle of Astroid=sqrt((8*Area of Astroid)/(3*pi))
Radius of Fixed Circle of Astroid=Perimeter of Astroid/6

Can the Radius of Fixed Circle of Astroid given Chord Length be negative?

No, the Radius of Fixed Circle of Astroid given Chord Length, measured in Length cannot be negative.

Which unit is used to measure Radius of Fixed Circle of Astroid given Chord Length?

Radius of Fixed Circle 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 Radius of Fixed Circle of Astroid given Chord Length can be measured.

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