Perimeter of Astroid given Area Calculator

✖Area of Astroid is defined as measure of the total area or region occupied by an Astroid within its four concave sides or boundaries.ⓘ Area of Astroid [A]

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

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Perimeter of Astroid given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi))
P = 6*sqrt((8*A)/(3*pi))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Perimeter of Astroid - (Measured in Meter) - The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.
Area of Astroid - (Measured in Square Meter) - Area of Astroid is defined as measure of the total area or region occupied by an Astroid within its four concave sides or boundaries.

STEP 1: Convert Input(s) to Base Unit

Area of Astroid: 75 Square Meter --> 75 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 6*sqrt((8*A)/(3*pi)) --> 6*sqrt((8*75)/(3*pi))

Evaluating ... ...

P = 47.8730736481719

STEP 3: Convert Result to Output's Unit

47.8730736481719 Meter --> No Conversion Required

FINAL ANSWER

47.8730736481719 ≈ 47.87307 Meter <-- Perimeter 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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< Perimeter of Astroid Calculators

Perimeter of Astroid given Chord Length

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

Perimeter of Astroid given Area

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

Perimeter of Astroid given Radius of Rolling Circle

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

Perimeter of Astroid

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

Perimeter of Astroid given Area Formula

LaTeX Go

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

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 Perimeter of Astroid given Area?

Perimeter of Astroid given Area calculator uses Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi)) to calculate the Perimeter of Astroid, The Perimeter of Astroid given Area 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 given Area using this online calculator? To use this online calculator for Perimeter of Astroid given Area, enter Area of Astroid (A) and hit the calculate button. Here is how the Perimeter of Astroid given Area calculation can be explained with given input values -> 47.87307 = 6*sqrt((8*75)/(3*pi)).

FAQ

What is Perimeter of Astroid given Area?

The Perimeter of Astroid given Area formula is defined as the outermost parts or boundary of a concave pentagon and is represented as P = 6*sqrt((8*A)/(3*pi)) or Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi)). Area of Astroid is defined as measure of the total area or region occupied by an Astroid within its four concave sides or boundaries.

How to calculate Perimeter of Astroid given Area?

The Perimeter of Astroid given Area formula is defined as the outermost parts or boundary of a concave pentagon is calculated using Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi)). To calculate Perimeter of Astroid given Area, you need Area of Astroid (A). With our tool, you need to enter the respective value for Area 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 Area 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 = 24*Radius of Rolling Circle of Astroid
Perimeter of Astroid = 6*(Chord Length of Astroid/(2*sin(pi/4)))

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