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Chord Length of Hypocycloid is the linear distance between any two adjacent cusps of the Hypocycloid. Check FAQs
lc=sin(πNCusps)⋅P⋅NCusps4⋅(NCusps-1)
lc - Chord Length of Hypocycloid?NCusps - Number of Cusps of Hypocycloid?P - Perimeter of Hypocycloid?π - Archimedes' constant?

Chord Length of Hypocycloid given Perimeter Example

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

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

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

11.9394Edit=sin(3.14165Edit)⋅65Edit⋅5Edit4⋅(5Edit-1)
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Chord Length of Hypocycloid given Perimeter Solution

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

FIRST Step Consider the formula
lc=sin(πNCusps)⋅P⋅NCusps4⋅(NCusps-1)
Next Step Substitute values of Variables
∴ lc=sin(π5)⋅65m⋅54⋅(5-1)
Next Step Substitute values of Constants
∴ lc=sin(3.14165)⋅65m⋅54⋅(5-1)
Next Step Prepare to Evaluate
∴ lc=sin(3.14165)⋅65⋅54⋅(5-1)
Next Step Evaluate
∴lc=11.9393879371909m
LAST Step Rounding Answer
∴lc=11.9394m

Chord Length of Hypocycloid given Perimeter 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
Perimeter of Hypocycloid
Perimeter of Hypocycloid is the total length of all the boundary edges of the Hypocycloid.
Symbol: P
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Perimeter 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
lc=2⋅sin(πNCusps)⋅rLarge
​Go Chord Length of Hypocycloid given Area
lc=2⋅sin(πNCusps)⋅NCusps⋅Aπ⋅(NCusps-1)⋅(NCusps-2)

How to Evaluate Chord Length of Hypocycloid given Perimeter?

Chord Length of Hypocycloid given Perimeter evaluator uses 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)) to evaluate the Chord Length of Hypocycloid, Chord Length of Hypocycloid given Perimeter is defined as the linear distance between any two adjacent cusps of the Hypocycloid, and calculated using the perimeter of the Hypocycloid. Chord Length of Hypocycloid is denoted by lc symbol.

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

FAQs on Chord Length of Hypocycloid given Perimeter

What is the formula to find Chord Length of Hypocycloid given Perimeter?
The formula of Chord Length of Hypocycloid given Perimeter is expressed as 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)). Here is an example- 11.93939 = sin(pi/5)*(65*5)/(4*(5-1)).
How to calculate Chord Length of Hypocycloid given Perimeter?
With Number of Cusps of Hypocycloid (NCusps) & Perimeter of Hypocycloid (P) we can find Chord Length of Hypocycloid given Perimeter using the formula - 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)). This formula also uses Archimedes' constant and Sine 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 HypocycloidOpenImg
  • 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 given Perimeter be negative?
No, the Chord Length of Hypocycloid given Perimeter, measured in Length cannot be negative.
Which unit is used to measure Chord Length of Hypocycloid given Perimeter?
Chord Length of Hypocycloid 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 Hypocycloid given Perimeter can be measured.
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