Perimeter of Astroid given Radius of Rolling Circle 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 Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.ⓘ Perimeter of Astroid given Radius of Rolling Circle [P]

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Formula

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Perimeter of Astroid given Radius of Rolling Circle

Formula

`"P" = 24*"r"_{"Rolling circle"}`

Example

`"48m"=24*"2m"`

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Perimeter of Astroid given Radius of Rolling Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Astroid = 24*Radius of Rolling Circle of Astroid
P = 24*r_{Rolling circle}
This formula uses 2 Variables

Variables Used

Perimeter of Astroid - (Measured in Meter) - The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.
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

P = 24*r_{Rolling circle} --> 24*2

Evaluating ... ...

P = 48

STEP 3: Convert Result to Output's Unit

48 Meter --> No Conversion Required

FINAL ANSWER

48 Meter <-- Perimeter of Astroid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Perimeter of Astroid Calculators

Perimeter of Astroid given Chord Length

Go Perimeter of Astroid = 6*(Chord Length of Astroid/(2*sin(pi/4)))

Perimeter of Astroid given Area

Go Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi))

Perimeter of Astroid given Radius of Rolling Circle

Go Perimeter of Astroid = 24*Radius of Rolling Circle of Astroid

Perimeter of Astroid

Go Perimeter of Astroid = 6*Radius of Fixed Circle of Astroid

Perimeter of Astroid given Radius of Rolling Circle Formula

Perimeter of Astroid = 24*Radius of Rolling Circle of Astroid
P = 24*r_{Rolling circle}

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 Perimeter of Astroid given Radius of Rolling Circle?

Perimeter of Astroid given Radius of Rolling Circle calculator uses Perimeter of Astroid = 24*Radius of Rolling Circle of Astroid to calculate the Perimeter of Astroid, The Perimeter of Astroid given Radius of Rolling Circle formula is defined as the length of the outermost parts or boundary of Astroid, calculated using the Radius of the Rolling Circle. Perimeter of Astroid is denoted by P symbol.

How to calculate Perimeter of Astroid given Radius of Rolling Circle using this online calculator? To use this online calculator for Perimeter of Astroid given Radius of Rolling Circle, enter Radius of Rolling Circle of Astroid (r_{Rolling circle}) and hit the calculate button. Here is how the Perimeter of Astroid given Radius of Rolling Circle calculation can be explained with given input values -> 48 = 24*2.

FAQ

What is Perimeter of Astroid given Radius of Rolling Circle?

The Perimeter of Astroid given Radius of Rolling Circle formula is defined as the length of the outermost parts or boundary of Astroid, calculated using the Radius of the Rolling Circle and is represented as P = 24*r_{Rolling circle} or Perimeter of Astroid = 24*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 Perimeter of Astroid given Radius of Rolling Circle?

The Perimeter of Astroid given Radius of Rolling Circle formula is defined as the length of the outermost parts or boundary of Astroid, calculated using the Radius of the Rolling Circle is calculated using Perimeter of Astroid = 24*Radius of Rolling Circle of Astroid. To calculate Perimeter of Astroid given Radius of Rolling Circle, 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 Perimeter of Astroid?

In this formula, Perimeter 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 -

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

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