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Chord Length of Astroid given Perimeter Formula

GoChord Length of Astroid Formula

GoChord Length of Astroid given Area 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 = \frac{P}{3} \cdot \sin (\frac{π}{4})

l_c - Chord Length of Astroid?P - Perimeter of Astroid?π - Archimedes' constant?

Chord Length of Astroid given Perimeter Example

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

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

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

11.7851 = \frac{50}{3} \cdot \sin (\frac{3.1416}{4})

11.7851m = \frac{50m}{3} \cdot \sin (\frac{3.1416}{4})

11.7851 = \frac{50}{3} \cdot \sin (\frac{3.1416}{4})

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Chord Length of Astroid given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c = \frac{50m}{3} \cdot \sin (\frac{π}{4})

Next Step Substitute values of Constants

∴

l c = \frac{50m}{3} \cdot \sin (\frac{3.1416}{4})

Next Step Prepare to Evaluate

∴

l c = \frac{50}{3} \cdot \sin (\frac{3.1416}{4})

Next Step Evaluate

∴

l c = 11.7851130197758m

LAST Step Rounding Answer

∴

l c = 11.7851m

Chord Length of Astroid given Perimeter 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

Perimeter of Astroid

The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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)

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 Area

l c = 2 \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}} \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 Perimeter?

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

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

FAQs on Chord Length of Astroid given Perimeter

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

The formula of Chord Length of Astroid given Perimeter is expressed as Chord Length of Astroid = Perimeter of Astroid/3*sin(pi/4). Here is an example- 11.78511 = 50/3*sin(pi/4).

How to calculate Chord Length of Astroid given Perimeter?

With Perimeter of Astroid (P) we can find Chord Length of Astroid given Perimeter using the formula - Chord Length of Astroid = Perimeter of Astroid/3*sin(pi/4). This formula also uses Archimedes' constant and Sine (sin) 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=2*sqrt((8*Area of Astroid)/(3*pi))*sin(pi/4)
Chord Length of Astroid=8*Radius of Rolling Circle of Astroid*sin(pi/4)

Can the Chord Length of Astroid given Perimeter be negative?

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

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

Chord Length of Astroid given Perimeter 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 Perimeter can be measured.

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