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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
rLarge=NCuspsrSmall
rLarge - Larger Radius of Hypocycloid?NCusps - Number of Cusps of Hypocycloid?rSmall - Smaller Radius of Hypocycloid?

Larger Radius of Hypocycloid given Smaller Radius Example

With values
With units
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Here is how the Larger Radius of Hypocycloid given Smaller Radius equation looks like with Values.

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

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

10Edit=5Edit2Edit
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Larger Radius of Hypocycloid given Smaller Radius Solution

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

FIRST Step Consider the formula
rLarge=NCuspsrSmall
Next Step Substitute values of Variables
rLarge=52m
Next Step Prepare to Evaluate
rLarge=52
LAST Step Evaluate
rLarge=10m

Larger Radius of Hypocycloid given Smaller Radius Formula Elements

Variables
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.
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.
Smaller Radius of Hypocycloid
Smaller Radius of Hypocycloid is the radius of the circle which decides the number of cusps of the Hypocycloid and the width of portions cut from the larger circle to form the Hypocycloid.
Symbol: rSmall
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Larger Radius of Hypocycloid

​Go Larger Radius of Hypocycloid given Chord Length
rLarge=lc2sin(πNCusps)
​Go Larger Radius of Hypocycloid given Perimeter
rLarge=PNCusps8(NCusps-1)
​Go Larger Radius of Hypocycloid given Area
rLarge=NCuspsAπ(NCusps-1)(NCusps-2)

How to Evaluate Larger Radius of Hypocycloid given Smaller Radius?

Larger Radius of Hypocycloid given Smaller Radius evaluator uses Larger Radius of Hypocycloid = Number of Cusps of Hypocycloid*Smaller Radius of Hypocycloid to evaluate the Larger Radius of Hypocycloid, Larger Radius of Hypocycloid given Smaller Radius formula 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 radius of smaller circle of the Hypocycloid. Larger Radius of Hypocycloid is denoted by rLarge symbol.

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

FAQs on Larger Radius of Hypocycloid given Smaller Radius

What is the formula to find Larger Radius of Hypocycloid given Smaller Radius?
The formula of Larger Radius of Hypocycloid given Smaller Radius is expressed as Larger Radius of Hypocycloid = Number of Cusps of Hypocycloid*Smaller Radius of Hypocycloid. Here is an example- 10 = 5*2.
How to calculate Larger Radius of Hypocycloid given Smaller Radius?
With Number of Cusps of Hypocycloid (NCusps) & Smaller Radius of Hypocycloid (rSmall) we can find Larger Radius of Hypocycloid given Smaller Radius using the formula - Larger Radius of Hypocycloid = Number of Cusps of Hypocycloid*Smaller Radius of Hypocycloid.
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=Chord Length of Hypocycloid/(2*sin(pi/Number of Cusps of Hypocycloid))OpenImg
  • Larger Radius of Hypocycloid=(Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(8*(Number of Cusps of Hypocycloid-1))OpenImg
  • 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)))OpenImg
Can the Larger Radius of Hypocycloid given Smaller Radius be negative?
No, the Larger Radius of Hypocycloid given Smaller Radius, measured in Length cannot be negative.
Which unit is used to measure Larger Radius of Hypocycloid given Smaller Radius?
Larger Radius of Hypocycloid given Smaller Radius 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 Smaller Radius can be measured.
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