Radius of Rolling Circle of Astroid Calculator

✖The Radius of Fixed Circle of Astroid is the distance from the center of the fixed circle to any point on its circumference.ⓘ Radius of Fixed Circle of Astroid [r_{Fixed Circle}]

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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.ⓘ Radius of Rolling Circle of Astroid [r_{Rolling circle}]

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Radius of Rolling Circle of Astroid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Rolling Circle of Astroid = Radius of Fixed Circle of Astroid/4
r_{Rolling circle} = r_{Fixed Circle}/4
This formula uses 2 Variables

Variables Used

Radius of Rolling Circle of Astroid - (Measured in Meter) - Radius of Rolling Circle of Astroid is the distance from the center of the rolling circle to any point on its circumference.
Radius of Fixed Circle of Astroid - (Measured in Meter) - The Radius of Fixed Circle of Astroid is the distance from the center of the fixed circle to any point on its circumference.

STEP 1: Convert Input(s) to Base Unit

Radius of Fixed Circle of Astroid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{Rolling circle} = r_{Fixed Circle}/4 --> 8/4

Evaluating ... ...

r_{Rolling circle} = 2

STEP 3: Convert Result to Output's Unit

2 Meter --> No Conversion Required

FINAL ANSWER

2 Meter <-- Radius of Rolling Circle of Astroid

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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< Radius of Rolling circle of Astroid Calculators

Radius of Rolling Circle of Astroid given Chord Length

LaTeX Go Radius of Rolling Circle of Astroid = 1/4*Chord Length of Astroid/(2*sin(pi/4))

Radius of Rolling Circle of Astroid given Area

LaTeX Go Radius of Rolling Circle of Astroid = 1/4*sqrt((8*Area of Astroid)/(3*pi))

Radius of Rolling Circle of Astroid

LaTeX Go Radius of Rolling Circle of Astroid = Radius of Fixed Circle of Astroid/4

Radius of Rolling Circle of Astroid given Perimeter

LaTeX Go Radius of Rolling Circle of Astroid = Perimeter of Astroid/24

Radius of Rolling Circle of Astroid Formula

LaTeX Go

Radius of Rolling Circle of Astroid = Radius of Fixed Circle of Astroid/4
r_{Rolling circle} = r_{Fixed Circle}/4

What is an Astroid?

A 4-cusped Hypocycloid which is sometimes also called a tetracuspid, cubocycloid, or paracycle. The parametric equations of the Astroid can be obtained by plugging in n=a/b=4 or 4/3 into the equations for a general hypocycloid, giving parametric equations.
The Astroid can also be formed as the envelope produced when a line segment is moved with each end on one of a pair of perpendicular axes (e.g., it is the curve enveloped by a ladder sliding against a wall or a garage door with the top corner moving along a vertical track; left figure above). The Astroid is therefore a glissette.

How to Calculate Radius of Rolling Circle of Astroid?

Radius of Rolling Circle of Astroid calculator uses Radius of Rolling Circle of Astroid = Radius of Fixed Circle of Astroid/4 to calculate the Radius of Rolling Circle of Astroid, The Radius of Rolling Circle of Astroid formula is defined as the length of the straight line from the center to the circumference of the rolling circle. Radius of Rolling Circle of Astroid is denoted by r_{Rolling circle} symbol.

How to calculate Radius of Rolling Circle of Astroid using this online calculator? To use this online calculator for Radius of Rolling Circle of Astroid, enter Radius of Fixed Circle of Astroid (r_{Fixed Circle}) and hit the calculate button. Here is how the Radius of Rolling Circle of Astroid calculation can be explained with given input values -> 2 = 8/4.

FAQ

What is Radius of Rolling Circle of Astroid?

The Radius of Rolling Circle of Astroid formula is defined as the length of the straight line from the center to the circumference of the rolling circle and is represented as r_{Rolling circle} = r_{Fixed Circle}/4 or Radius of Rolling Circle of Astroid = Radius of Fixed Circle of Astroid/4. The Radius of Fixed Circle of Astroid is the distance from the center of the fixed circle to any point on its circumference.

How to calculate Radius of Rolling Circle of Astroid?

The Radius of Rolling Circle of Astroid formula is defined as the length of the straight line from the center to the circumference of the rolling circle is calculated using Radius of Rolling Circle of Astroid = Radius of Fixed Circle of Astroid/4. To calculate Radius of Rolling Circle of Astroid, you need Radius of Fixed Circle of Astroid (r_{Fixed Circle}). With our tool, you need to enter the respective value for Radius of Fixed Circle of Astroid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Rolling Circle of Astroid?

In this formula, Radius of Rolling Circle of Astroid uses Radius of Fixed Circle of Astroid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Rolling Circle of Astroid = 1/4*sqrt((8*Area of Astroid)/(3*pi))
Radius of Rolling Circle of Astroid = 1/4*Chord Length of Astroid/(2*sin(pi/4))
Radius of Rolling Circle of Astroid = Perimeter of Astroid/24

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