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Chord Length of Astroid given Area Formula

GoChord Length of Astroid Formula

GoChord Length of Astroid given Perimeter Formula

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A Chord Length of Astroid is a straight line segment whose endpoints both lie on a circular arc of an Astroid. Check FAQs

l c = 2 \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}} \cdot \sin (\frac{π}{4})

l_c - Chord Length of Astroid?A - Area of Astroid?π - Archimedes' constant?

Chord Length of Astroid given Area Example

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Here is how the Chord Length of Astroid given Area equation looks like with Values.

Here is how the Chord Length of Astroid given Area equation looks like with Units.

Here is how the Chord Length of Astroid given Area equation looks like.

11.2838 = 2 \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}} \cdot \sin (\frac{3.1416}{4})

11.2838m = 2 \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}} \cdot \sin (\frac{3.1416}{4})

11.2838 = 2 \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}} \cdot \sin (\frac{3.1416}{4})

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Chord Length of Astroid given Area Solution

Follow our step by step solution on how to calculate Chord Length of Astroid given Area?

FIRST Step Consider the formula

l c = 2 \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}} \cdot \sin (\frac{π}{4})

Next Step Substitute values of Variables

∴

l c = 2 \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot π}} \cdot \sin (\frac{π}{4})

Next Step Substitute values of Constants

∴

l c = 2 \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}} \cdot \sin (\frac{3.1416}{4})

Next Step Prepare to Evaluate

∴

l c = 2 \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}} \cdot \sin (\frac{3.1416}{4})

Next Step Evaluate

∴

l c = 11.2837916709551m

LAST Step Rounding Answer

∴

l c = 11.2838m

Chord Length of Astroid given Area Formula Elements

Variables

Constants

Functions

Chord Length of Astroid

A Chord Length of Astroid is a straight line segment whose endpoints both lie on a circular arc of an Astroid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Chord Length of Astroid

Go Chord Length of Astroid

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

Go Chord Length of Astroid given Perimeter

l c = \frac{P}{3} \cdot \sin (\frac{π}{4})

Go Chord Length of Astroid given Radius of Rolling Circle

l c = 8 \cdot r Rolling circle \cdot \sin (\frac{π}{4})

How to Evaluate Chord Length of Astroid given Area?

Chord Length of Astroid given Area evaluator uses Chord Length of Astroid = 2*sqrt((8*Area of Astroid)/(3*pi))*sin(pi/4) to evaluate the Chord Length of Astroid, The Chord Length of Astroid given Area formula is defined as the length of straight line segment whose both end points lie on the curve of Astroid, calculated using area of it. Chord Length of Astroid is denoted by l_c symbol.

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

FAQs on Chord Length of Astroid given Area

What is the formula to find Chord Length of Astroid given Area?

The formula of Chord Length of Astroid given Area is expressed as Chord Length of Astroid = 2*sqrt((8*Area of Astroid)/(3*pi))*sin(pi/4). Here is an example- 11.28379 = 2*sqrt((8*75)/(3*pi))*sin(pi/4).

How to calculate Chord Length of Astroid given Area?

With Area of Astroid (A) we can find Chord Length of Astroid given Area using the formula - Chord Length of Astroid = 2*sqrt((8*Area of Astroid)/(3*pi))*sin(pi/4). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

What are the other ways to Calculate Chord Length of Astroid?

Here are the different ways to Calculate Chord Length of Astroid-

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

Can the Chord Length of Astroid given Area be negative?

No, the Chord Length of Astroid given Area, measured in Length cannot be negative.

Which unit is used to measure Chord Length of Astroid given Area?

Chord Length 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 Chord Length of Astroid given Area can be measured.

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