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Radius of Rolling Circle of Astroid given Area Formula

GoRadius of Rolling Circle of Astroid given Chord Length Formula

GoRadius of Rolling Circle of Astroid given Perimeter Formula

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Radius of Rolling Circle of Astroid is the distance from the center of the rolling circle to any point on its circumference. Check FAQs

r Rolling circle = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}}

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

Radius of Rolling Circle of Astroid given Area Example

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

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

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

1.9947 = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

1.9947m = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}}

1.9947 = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

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Radius of Rolling Circle of Astroid given Area Solution

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

FIRST Step Consider the formula

r Rolling circle = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}}

Next Step Substitute values of Variables

∴

r Rolling circle = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

r Rolling circle = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

r Rolling circle = \frac{1}{4} \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

Next Step Evaluate

∴

r Rolling circle = 1.99471140200716m

LAST Step Rounding Answer

∴

r Rolling circle = 1.9947m

Radius of Rolling Circle of Astroid given Area Formula Elements

Variables

Constants

Functions

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.

Symbol: r_{Rolling circle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Rolling 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 Rolling Circle of Astroid

Go Radius of Rolling Circle of Astroid given Chord Length

r Rolling circle = \frac{1}{4} \cdot \frac{l c}{2 \cdot \sin (\frac{π}{4})}

Go Radius of Rolling Circle of Astroid given Perimeter

r Rolling circle = \frac{P}{24}

Go Radius of Rolling Circle of Astroid

r Rolling circle = \frac{r Fixed Circle}{4}

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

Radius of Rolling Circle of Astroid given Area evaluator uses Radius of Rolling Circle of Astroid = 1/4*sqrt((8*Area of Astroid)/(3*pi)) to evaluate the Radius of Rolling Circle of Astroid, The Radius of Rolling Circle of Astroid given Area formula is defined as the length of the straight line from the center to the circumference of the rolling circle of an Astroid, calculated using its area. Radius of Rolling Circle of Astroid is denoted by r_{Rolling circle} symbol.

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

FAQs on Radius of Rolling Circle of Astroid given Area

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

The formula of Radius of Rolling Circle of Astroid given Area is expressed as Radius of Rolling Circle of Astroid = 1/4*sqrt((8*Area of Astroid)/(3*pi)). Here is an example- 1.994711 = 1/4*sqrt((8*75)/(3*pi)).

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

With Area of Astroid (A) we can find Radius of Rolling Circle of Astroid given Area using the formula - Radius of Rolling Circle of Astroid = 1/4*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 Rolling Circle of Astroid?

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

Radius of Rolling Circle of Astroid=1/4*Chord Length of Astroid/(2*sin(pi/4))
Radius of Rolling Circle of Astroid=Perimeter of Astroid/24
Radius of Rolling Circle of Astroid=Radius of Fixed Circle of Astroid/4

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

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

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

Radius of Rolling 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 Rolling Circle of Astroid given Area can be measured.

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