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Radius of Fixed Circle of Astroid given Area Formula

GoRadius of Fixed Circle of Astroid Formula

GoRadius of Fixed Circle of Astroid given Chord Length Formula

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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. Check FAQs

r Fixed Circle = \sqrt{\frac{8 \cdot A}{3 \cdot π}}

r_{Fixed Circle} - Radius of Fixed Circle of Astroid?A - Area of Astroid?π - Archimedes' constant?

Radius of Fixed Circle of Astroid given Area Example

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Here is how the Radius of Fixed Circle of Astroid given Area equation looks like with Values.

Here is how the Radius of Fixed Circle of Astroid given Area equation looks like with Units.

Here is how the Radius of Fixed Circle of Astroid given Area equation looks like.

7.9788 = \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

7.9788m = \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}}

7.9788 = \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

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Radius of Fixed Circle of Astroid given Area Solution

Follow our step by step solution on how to calculate Radius of Fixed Circle of Astroid given Area?

FIRST Step Consider the formula

r Fixed Circle = \sqrt{\frac{8 \cdot A}{3 \cdot π}}

Next Step Substitute values of Variables

∴

r Fixed Circle = \sqrt{\frac{8 \cdot 75m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

r Fixed Circle = \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

r Fixed Circle = \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

Next Step Evaluate

∴

r Fixed Circle = 7.97884560802865m

LAST Step Rounding Answer

∴

r Fixed Circle = 7.9788m

Radius of Fixed Circle of Astroid given Area Formula Elements

Variables

Constants

Functions

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.

Symbol: r_{Fixed Circle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Fixed Circle of Astroid

Area of Astroid

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Astroid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Radius of Fixed Circle of Astroid

Go Radius of Fixed Circle of Astroid

r Fixed Circle = 4 \cdot r Rolling circle

Go Radius of Fixed Circle of Astroid given Chord Length

r Fixed Circle = \frac{l c}{2 \cdot \sin (\frac{π}{4})}

Go Radius of Fixed Circle of Astroid given Perimeter

r Fixed Circle = \frac{P}{6}

How to Evaluate Radius of Fixed Circle of Astroid given Area?

Radius of Fixed Circle of Astroid given Area evaluator uses Radius of Fixed Circle of Astroid = sqrt((8*Area of Astroid)/(3*pi)) to evaluate the Radius of Fixed Circle of Astroid, The Radius of Fixed Circle of Astroid given Area formula is defined as the straight line from the center to the circumference of an Astroid, calculated using its area. Radius of Fixed Circle of Astroid is denoted by r_{Fixed Circle} symbol.

How to evaluate Radius of Fixed Circle of Astroid given Area using this online evaluator? To use this online evaluator for Radius of Fixed Circle of Astroid given Area, enter Area of Astroid (A) and hit the calculate button.

FAQs on Radius of Fixed Circle of Astroid given Area

What is the formula to find Radius of Fixed Circle of Astroid given Area?

The formula of Radius of Fixed Circle of Astroid given Area is expressed as Radius of Fixed Circle of Astroid = sqrt((8*Area of Astroid)/(3*pi)). Here is an example- 7.978846 = sqrt((8*75)/(3*pi)).

How to calculate Radius of Fixed Circle of Astroid given Area?

With Area of Astroid (A) we can find Radius of Fixed Circle of Astroid given Area using the formula - Radius of Fixed Circle of Astroid = sqrt((8*Area of Astroid)/(3*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Fixed Circle of Astroid?

Here are the different ways to Calculate Radius of Fixed Circle of Astroid-

Radius of Fixed Circle of Astroid=4*Radius of Rolling Circle of Astroid
Radius of Fixed Circle of Astroid=Chord Length of Astroid/(2*sin(pi/4))
Radius of Fixed Circle of Astroid=Perimeter of Astroid/6

Can the Radius of Fixed Circle of Astroid given Area be negative?

No, the Radius of Fixed Circle of Astroid given Area, measured in Length cannot be negative.

Which unit is used to measure Radius of Fixed Circle of Astroid given Area?

Radius of Fixed Circle of Astroid given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Fixed Circle of Astroid given Area can be measured.

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