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Radius of Rolling Circle of Astroid given Chord Length Formula

GoRadius of Rolling Circle of Astroid given Area Formula

GoRadius of Rolling Circle of Astroid given Perimeter Formula

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

r Rolling circle = \frac{1}{4} \cdot \frac{l c}{2 \cdot \sin (\frac{π}{4})}

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

Radius of Rolling Circle of Astroid given Chord Length Example

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

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

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

1.9445 = \frac{1}{4} \cdot \frac{11}{2 \cdot \sin (\frac{3.1416}{4})}

1.9445m = \frac{1}{4} \cdot \frac{11m}{2 \cdot \sin (\frac{3.1416}{4})}

1.9445 = \frac{1}{4} \cdot \frac{11}{2 \cdot \sin (\frac{3.1416}{4})}

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Radius of Rolling Circle of Astroid given Chord Length Solution

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

FIRST Step Consider the formula

r Rolling circle = \frac{1}{4} \cdot \frac{l c}{2 \cdot \sin (\frac{π}{4})}

Next Step Substitute values of Variables

∴

r Rolling circle = \frac{1}{4} \cdot \frac{11m}{2 \cdot \sin (\frac{π}{4})}

Next Step Substitute values of Constants

∴

r Rolling circle = \frac{1}{4} \cdot \frac{11m}{2 \cdot \sin (\frac{3.1416}{4})}

Next Step Prepare to Evaluate

∴

r Rolling circle = \frac{1}{4} \cdot \frac{11}{2 \cdot \sin (\frac{3.1416}{4})}

Next Step Evaluate

∴

r Rolling circle = 1.94454364826301m

LAST Step Rounding Answer

∴

r Rolling circle = 1.9445m

Radius of Rolling Circle of Astroid given Chord Length Formula Elements

Variables

Constants

Functions

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

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 Rolling Circle of Astroid

Go Radius of Rolling Circle of Astroid given Area

r Rolling circle = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}}

Go Radius of Rolling Circle of Astroid given Perimeter

r Rolling circle = \frac{P}{24}

Go Radius of Rolling Circle of Astroid

r Rolling circle = \frac{r Fixed Circle}{4}

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

Radius of Rolling Circle of Astroid given Chord Length evaluator uses Radius of Rolling Circle of Astroid = 1/4*Chord Length of Astroid/(2*sin(pi/4)) to evaluate the Radius of Rolling Circle of Astroid, The Radius of Rolling Circle of Astroid given Chord Length formula is defined as the length of the straight line from the center to the circumference of the rolling circle of the Astroid, calculated using its chord length. Radius of Rolling Circle of Astroid is denoted by r_{Rolling circle} symbol.

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

FAQs on Radius of Rolling Circle of Astroid given Chord Length

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

The formula of Radius of Rolling Circle of Astroid given Chord Length is expressed as Radius of Rolling Circle of Astroid = 1/4*Chord Length of Astroid/(2*sin(pi/4)). Here is an example- 1.944544 = 1/4*11/(2*sin(pi/4)).

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

With Chord Length of Astroid (l_c) we can find Radius of Rolling Circle of Astroid given Chord Length using the formula - Radius of Rolling Circle of Astroid = 1/4*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 Radius of Rolling Circle of Astroid?

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

Radius of Rolling Circle of Astroid=1/4*sqrt((8*Area of Astroid)/(3*pi))
Radius of Rolling Circle of Astroid=Perimeter of Astroid/24
Radius of Rolling Circle of Astroid=Radius of Fixed Circle of Astroid/4

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

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

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

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

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