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Chord Length of Hypocycloid is the linear distance between any two adjacent cusps of the Hypocycloid. Check FAQs
lc=2⋅sin(πNCusps)⋅rLarge
lc - Chord Length of Hypocycloid?NCusps - Number of Cusps of Hypocycloid?rLarge - Larger Radius of Hypocycloid?π - Archimedes' constant?

Chord Length of Hypocycloid Example

With values
With units
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Here is how the Chord Length of Hypocycloid equation looks like with Values.

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

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

11.7557Edit=2⋅sin(3.14165Edit)⋅10Edit
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HomeIcon Home » Category Math » Category Geometry » Category 2D Geometry » fx Chord Length of Hypocycloid

Chord Length of Hypocycloid Solution

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

FIRST Step Consider the formula
lc=2⋅sin(πNCusps)⋅rLarge
Next Step Substitute values of Variables
∴ lc=2⋅sin(π5)⋅10m
Next Step Substitute values of Constants
∴ lc=2⋅sin(3.14165)⋅10m
Next Step Prepare to Evaluate
∴ lc=2⋅sin(3.14165)⋅10
Next Step Evaluate
∴lc=11.7557050458495m
LAST Step Rounding Answer
∴lc=11.7557m

Chord Length of Hypocycloid 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: lc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Chord Length of HypocycloidOpen Variable
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: NCusps
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Cusps of HypocycloidOpen Variable
Larger Radius of Hypocycloid
Larger Radius of Hypocycloid is the radius of the larger circle of Hypocycloid or the circle inside which the Hypocycloid shape is inscribed.
Symbol: rLarge
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Larger Radius of HypocycloidOpen Variable
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 Hypocycloid

​Go Chord Length of Hypocycloid given Perimeter
lc=sin(πNCusps)⋅P⋅NCusps4⋅(NCusps-1)
​Go Chord Length of Hypocycloid given Area
lc=2⋅sin(πNCusps)⋅NCusps⋅Aπ⋅(NCusps-1)⋅(NCusps-2)

How to Evaluate Chord Length of Hypocycloid?

Chord Length of Hypocycloid evaluator uses Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Larger Radius of Hypocycloid to evaluate the Chord Length of Hypocycloid, Chord Length of Hypocycloid is defined as the linear distance between any two adjacent cusps of the Hypocycloid. Chord Length of Hypocycloid is denoted by lc symbol.

How to evaluate Chord Length of Hypocycloid using this online evaluator? To use this online evaluator for Chord Length of Hypocycloid, enter Number of Cusps of Hypocycloid (NCusps) & Larger Radius of Hypocycloid (rLarge) and hit the calculate button.

FAQs on Chord Length of Hypocycloid

What is the formula to find Chord Length of Hypocycloid?
The formula of Chord Length of Hypocycloid is expressed as Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Larger Radius of Hypocycloid. Here is an example- 11.75571 = 2*sin(pi/5)*10.
How to calculate Chord Length of Hypocycloid?
With Number of Cusps of Hypocycloid (NCusps) & Larger Radius of Hypocycloid (rLarge) we can find Chord Length of Hypocycloid using the formula - Chord Length of Hypocycloid = 2*sin(pi/Number of Cusps of Hypocycloid)*Larger Radius of Hypocycloid. This formula also uses Archimedes' constant and Sine (sin) 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=sin(pi/Number of Cusps of Hypocycloid)*(Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(4*(Number of Cusps of Hypocycloid-1))OpenImg
  • 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)))OpenImg
Can the Chord Length of Hypocycloid be negative?
No, the Chord Length of Hypocycloid, measured in Length cannot be negative.
Which unit is used to measure Chord Length of Hypocycloid?
Chord Length of Hypocycloid 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 can be measured.
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