Radius of Fixed Circle of Astroid Calculator

✖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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✖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 Fixed Circle of Astroid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Rolling Circle of Astroid: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{Fixed Circle} = 4*r_{Rolling circle} --> 4*2

Evaluating ... ...

r_{Fixed Circle} = 8

STEP 3: Convert Result to Output's Unit

8 Meter --> No Conversion Required

FINAL ANSWER

8 Meter <-- Radius of Fixed Circle of Astroid

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Radius of Fixed Circle of Astroid Calculators

Radius of Fixed Circle of Astroid given Chord Length

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

Radius of Fixed Circle of Astroid given Area

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

Radius of Fixed Circle of Astroid

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

Radius of Fixed Circle of Astroid given Perimeter

LaTeX Go Radius of Fixed Circle of Astroid = Perimeter of Astroid/6

Radius of Fixed Circle of Astroid Formula

LaTeX Go

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

What is an Astroid?

A 4-cusped Hypocycloid 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 Fixed Circle of Astroid?

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

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

FAQ

What is Radius of Fixed Circle of Astroid?

The Radius of Fixed Circle of Astroid formula is defined as the length of the straight line from the center to the circumference of an Astroid and is represented as r_{Fixed Circle} = 4*r_{Rolling circle} or Radius of Fixed Circle of Astroid = 4*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.

How to calculate Radius of Fixed Circle of Astroid?

The Radius of Fixed Circle of Astroid formula is defined as the length of the straight line from the center to the circumference of an Astroid is calculated using Radius of Fixed Circle of Astroid = 4*Radius of Rolling Circle of Astroid. To calculate Radius of Fixed Circle of Astroid, you need Radius of Rolling Circle of Astroid (r_{Rolling circle}). With our tool, you need to enter the respective value for Radius of Rolling 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 Fixed Circle of Astroid?

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

Radius of Fixed Circle of Astroid = sqrt((8*Area of Astroid)/(3*pi))
Radius of Fixed Circle of Astroid = Chord Length of Astroid/(2*sin(pi/4))
Radius of Fixed Circle of Astroid = Perimeter of Astroid/6

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