Perimeter 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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✖The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.ⓘ Perimeter of Astroid [P]

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Formula

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Perimeter of Astroid

Formula

`"P" = 6*"r"_{"Fixed Circle"}`

Example

`"48m"=6*"8m"`

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Perimeter of Astroid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Astroid = 6*Radius of Fixed Circle of Astroid
P = 6*r_{Fixed 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 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

P = 6*r_{Fixed Circle} --> 6*8

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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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

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 Formula

Perimeter of Astroid = 6*Radius of Fixed Circle of Astroid
P = 6*r_{Fixed 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?

Perimeter of Astroid calculator uses Perimeter of Astroid = 6*Radius of Fixed Circle of Astroid to calculate the Perimeter of Astroid, The Perimeter of Astroid formula is defined as the outermost parts or boundary of a concave pentagon. Perimeter of Astroid is denoted by P symbol.

How to calculate Perimeter of Astroid using this online calculator? To use this online calculator for Perimeter of Astroid, enter Radius of Fixed Circle of Astroid (r_{Fixed Circle}) and hit the calculate button. Here is how the Perimeter of Astroid calculation can be explained with given input values -> 48 = 6*8.

FAQ

What is Perimeter of Astroid?

The Perimeter of Astroid formula is defined as the outermost parts or boundary of a concave pentagon and is represented as P = 6*r_{Fixed Circle} or Perimeter of Astroid = 6*Radius of Fixed Circle of Astroid. 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 Perimeter of Astroid?

The Perimeter of Astroid formula is defined as the outermost parts or boundary of a concave pentagon is calculated using Perimeter of Astroid = 6*Radius of Fixed Circle of Astroid. To calculate Perimeter 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 Perimeter of Astroid?

In this formula, Perimeter 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 -

Perimeter of Astroid = 24*Radius of Rolling 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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