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
rFixed Circle = 4*rRolling 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
rFixed Circle = 4*rRolling circle --> 4*2
Evaluating ... ...
rFixed 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)

Credits

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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4 Radius of Fixed Circle of Astroid Calculators

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

Radius of Fixed Circle of Astroid Formula

Radius of Fixed Circle of Astroid = 4*Radius of Rolling Circle of Astroid
rFixed Circle = 4*rRolling 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 rFixed 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 (rRolling 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 rFixed Circle = 4*rRolling 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 (rRolling 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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