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Chord Length of Hypocycloid given Area Formula

GoChord Length of Hypocycloid Formula

GoChord Length of Hypocycloid given Perimeter Formula

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Chord Length of Hypocycloid is the linear distance between any two adjacent cusps of the Hypocycloid. Check FAQs

l c = 2 \cdot \sin (\frac{π}{N Cusps}) \cdot N Cusps \cdot \sqrt{\frac{A}{π \cdot (N Cusps - 1) \cdot (N Cusps - 2)}}

l_c - Chord Length of Hypocycloid?N_Cusps - Number of Cusps of Hypocycloid?A - Area of Hypocycloid?π - Archimedes' constant?

Chord Length of Hypocycloid given Area Example

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

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

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

11.7246 = 2 \cdot \sin (\frac{3.1416}{5}) \cdot 5 \cdot \sqrt{\frac{150}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

11.7246m = 2 \cdot \sin (\frac{3.1416}{5}) \cdot 5 \cdot \sqrt{\frac{150m²}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

11.7246 = 2 \cdot \sin (\frac{3.1416}{5}) \cdot 5 \cdot \sqrt{\frac{150}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

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Chord Length of Hypocycloid given Area Solution

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

FIRST Step Consider the formula

l c = 2 \cdot \sin (\frac{π}{N Cusps}) \cdot N Cusps \cdot \sqrt{\frac{A}{π \cdot (N Cusps - 1) \cdot (N Cusps - 2)}}

Next Step Substitute values of Variables

∴

l c = 2 \cdot \sin (\frac{π}{5}) \cdot 5 \cdot \sqrt{\frac{150m²}{π \cdot (5 - 1) \cdot (5 - 2)}}

Next Step Substitute values of Constants

∴

l c = 2 \cdot \sin (\frac{3.1416}{5}) \cdot 5 \cdot \sqrt{\frac{150m²}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

Next Step Prepare to Evaluate

∴

l c = 2 \cdot \sin (\frac{3.1416}{5}) \cdot 5 \cdot \sqrt{\frac{150}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

Next Step Evaluate

∴

l c = 11.7246194467945m

LAST Step Rounding Answer

∴

l c = 11.7246m

Chord Length of Hypocycloid given Area Formula Elements

Variables

Constants

Functions

Chord Length of Hypocycloid

Chord Length of Hypocycloid is the linear distance between any two adjacent cusps of the Hypocycloid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length of Hypocycloid

Number of Cusps of Hypocycloid

Number of Cusps of Hypocycloid is the number of sharp tips or the round edged spikes of the Hypocycloid.

Symbol: N_Cusps

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Cusps of Hypocycloid

Area of Hypocycloid

Area of Hypocycloid is the total quantity of plane enclosed by the boundary of the Hypocycloid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Hypocycloid

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 Hypocycloid

Go Chord Length of Hypocycloid

l c = 2 \cdot \sin (\frac{π}{N Cusps}) \cdot r Large

Go Chord Length of Hypocycloid given Perimeter

l c = \sin (\frac{π}{N Cusps}) \cdot \frac{P \cdot N Cusps}{4 \cdot (N Cusps - 1)}

How to Evaluate Chord Length of Hypocycloid given Area?

Chord Length of Hypocycloid given Area evaluator uses Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Number of Cusps of Hypocycloid*sqrt(Area of Hypocycloid/(pi*(Number of Cusps of Hypocycloid-1)*(Number of Cusps of Hypocycloid-2))) to evaluate the Chord Length of Hypocycloid, Chord Length of Hypocycloid given Area formula is defined as the linear distance between any two adjacent cusps of the Hypocycloid, and calculated using the area of the Hypocycloid. Chord Length of Hypocycloid is denoted by l_c symbol.

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

FAQs on Chord Length of Hypocycloid given Area

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

The formula of Chord Length of Hypocycloid given Area is expressed as Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Number of Cusps of Hypocycloid*sqrt(Area of Hypocycloid/(pi*(Number of Cusps of Hypocycloid-1)*(Number of Cusps of Hypocycloid-2))). Here is an example- 11.72462 = 2*sin(pi/5)*5*sqrt(150/(pi*(5-1)*(5-2))).

How to calculate Chord Length of Hypocycloid given Area?

With Number of Cusps of Hypocycloid (N_Cusps) & Area of Hypocycloid (A) we can find Chord Length of Hypocycloid given Area using the formula - Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Number of Cusps of Hypocycloid*sqrt(Area of Hypocycloid/(pi*(Number of Cusps of Hypocycloid-1)*(Number of Cusps of Hypocycloid-2))). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

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

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

Chord Length of Hypocycloid=2*sin(pi/Number of Cusps of Hypocycloid)*Larger Radius of Hypocycloid
Chord Length of Hypocycloid=sin(pi/Number of Cusps of Hypocycloid)*(Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(4*(Number of Cusps of Hypocycloid-1))

Can the Chord Length of Hypocycloid given Area be negative?

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

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

Chord Length of Hypocycloid 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 Hypocycloid given Area can be measured.

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Chord Length of Hypocycloid given Area Formula

​GoChord Length of Hypocycloid Formula

​GoChord Length of Hypocycloid given Perimeter Formula

Chord Length of Hypocycloid given Area Example

Chord Length of Hypocycloid given Area Solution

Chord Length of Hypocycloid given Area Formula Elements

Other Formulas to find Chord Length of Hypocycloid

How to Evaluate Chord Length of Hypocycloid given Area?

FAQs on Chord Length of Hypocycloid given Area

Variable Name

GoChord Length of Hypocycloid Formula

GoChord Length of Hypocycloid given Perimeter Formula