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Larger Radius of Hypocycloid given Chord Length Formula

GoLarger Radius of Hypocycloid given Smaller Radius Formula

GoLarger Radius of Hypocycloid given Perimeter Formula

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Larger Radius of Hypocycloid is the radius of the larger circle of Hypocycloid or the circle inside which the Hypocycloid shape is inscribed. Check FAQs

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

r_Large - Larger Radius of Hypocycloid?l_c - Chord Length of Hypocycloid?N_Cusps - Number of Cusps of Hypocycloid?π - Archimedes' constant?

Larger Radius of Hypocycloid given Chord Length Example

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

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

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

10.2078 = \frac{12}{2 \cdot \sin (\frac{3.1416}{5})}

10.2078m = \frac{12m}{2 \cdot \sin (\frac{3.1416}{5})}

10.2078 = \frac{12}{2 \cdot \sin (\frac{3.1416}{5})}

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Larger Radius of Hypocycloid given Chord Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Large = \frac{12m}{2 \cdot \sin (\frac{π}{5})}

Next Step Substitute values of Constants

∴

r Large = \frac{12m}{2 \cdot \sin (\frac{3.1416}{5})}

Next Step Prepare to Evaluate

∴

r Large = \frac{12}{2 \cdot \sin (\frac{3.1416}{5})}

Next Step Evaluate

∴

r Large = 10.2078097002245m

LAST Step Rounding Answer

∴

r Large = 10.2078m

Larger Radius of Hypocycloid given Chord Length Formula Elements

Variables

Constants

Functions

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: r_Large

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Larger Radius of Hypocycloid

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

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 Larger Radius of Hypocycloid

Go Larger Radius of Hypocycloid given Smaller Radius

r Large = N Cusps \cdot r Small

Go Larger Radius of Hypocycloid given Perimeter

r Large = \frac{P \cdot N Cusps}{8 \cdot (N Cusps - 1)}

Go Larger Radius of Hypocycloid given Area

r Large = N Cusps \cdot \sqrt{\frac{A}{π \cdot (N Cusps - 1) \cdot (N Cusps - 2)}}

How to Evaluate Larger Radius of Hypocycloid given Chord Length?

Larger Radius of Hypocycloid given Chord Length evaluator uses Larger Radius of Hypocycloid = Chord Length of Hypocycloid/(2*sin(pi/Number of Cusps of Hypocycloid)) to evaluate the Larger Radius of Hypocycloid, Larger Radius of Hypocycloid given Chord Length is defined as the radius of the larger circle of Hypocycloid or the circle inside which the Hypocycloid shape is inscribed, and calculated using the chord length of the Hypocycloid. Larger Radius of Hypocycloid is denoted by r_Large symbol.

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

FAQs on Larger Radius of Hypocycloid given Chord Length

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

The formula of Larger Radius of Hypocycloid given Chord Length is expressed as Larger Radius of Hypocycloid = Chord Length of Hypocycloid/(2*sin(pi/Number of Cusps of Hypocycloid)). Here is an example- 10.20781 = 12/(2*sin(pi/5)).

How to calculate Larger Radius of Hypocycloid given Chord Length?

With Chord Length of Hypocycloid (l_c) & Number of Cusps of Hypocycloid (N_Cusps) we can find Larger Radius of Hypocycloid given Chord Length using the formula - Larger Radius of Hypocycloid = Chord Length of Hypocycloid/(2*sin(pi/Number of Cusps of Hypocycloid)). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Larger Radius of Hypocycloid?

Here are the different ways to Calculate Larger Radius of Hypocycloid-

Larger Radius of Hypocycloid=Number of Cusps of Hypocycloid*Smaller Radius of Hypocycloid
Larger Radius of Hypocycloid=(Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(8*(Number of Cusps of Hypocycloid-1))
Larger Radius of Hypocycloid=Number of Cusps of Hypocycloid*sqrt(Area of Hypocycloid/(pi*(Number of Cusps of Hypocycloid-1)*(Number of Cusps of Hypocycloid-2)))

Can the Larger Radius of Hypocycloid given Chord Length be negative?

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

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

Larger Radius of Hypocycloid given Chord Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Larger Radius of Hypocycloid given Chord Length can be measured.

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Larger Radius of Hypocycloid given Chord Length Formula

​GoLarger Radius of Hypocycloid given Smaller Radius Formula

​GoLarger Radius of Hypocycloid given Perimeter Formula

Larger Radius of Hypocycloid given Chord Length Example

Larger Radius of Hypocycloid given Chord Length Solution

Larger Radius of Hypocycloid given Chord Length Formula Elements

Other Formulas to find Larger Radius of Hypocycloid

How to Evaluate Larger Radius of Hypocycloid given Chord Length?

FAQs on Larger Radius of Hypocycloid given Chord Length

Variable Name

GoLarger Radius of Hypocycloid given Smaller Radius Formula

GoLarger Radius of Hypocycloid given Perimeter Formula