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Larger Radius of Hypocycloid given Perimeter Formula

GoLarger Radius of Hypocycloid given Smaller Radius Formula

GoLarger Radius of Hypocycloid given Chord Length 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{P \cdot N Cusps}{8 \cdot (N Cusps - 1)}

r_Large - Larger Radius of Hypocycloid?P - Perimeter of Hypocycloid?N_Cusps - Number of Cusps of Hypocycloid?

Larger Radius of Hypocycloid given Perimeter Example

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

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

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

10.1562 = \frac{65 \cdot 5}{8 \cdot (5 - 1)}

10.1562m = \frac{65m \cdot 5}{8 \cdot (5 - 1)}

10.1562 = \frac{65 \cdot 5}{8 \cdot (5 - 1)}

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2D Geometry » fx Larger Radius of Hypocycloid given Perimeter

Larger Radius of Hypocycloid given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Large = \frac{65m \cdot 5}{8 \cdot (5 - 1)}

Next Step Prepare to Evaluate

∴

r Large = \frac{65 \cdot 5}{8 \cdot (5 - 1)}

Next Step Evaluate

∴

r Large = 10.15625m

LAST Step Rounding Answer

∴

r Large = 10.1562m

Larger Radius of Hypocycloid given Perimeter 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: r_Large

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Larger Radius of Hypocycloid

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 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

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 Chord Length

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

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 Perimeter?

Larger Radius of Hypocycloid given Perimeter evaluator uses Larger Radius of Hypocycloid = (Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(8*(Number of Cusps of Hypocycloid-1)) to evaluate the Larger Radius of Hypocycloid, Larger Radius of Hypocycloid given Perimeter 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 perimeter of the Hypocycloid. Larger Radius of Hypocycloid is denoted by r_Large symbol.

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

FAQs on Larger Radius of Hypocycloid given Perimeter

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

The formula of Larger Radius of Hypocycloid given Perimeter is expressed as Larger Radius of Hypocycloid = (Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(8*(Number of Cusps of Hypocycloid-1)). Here is an example- 10.15625 = (65*5)/(8*(5-1)).

How to calculate Larger Radius of Hypocycloid given Perimeter?

With Perimeter of Hypocycloid (P) & Number of Cusps of Hypocycloid (N_Cusps) we can find Larger Radius of Hypocycloid given Perimeter using the formula - Larger Radius of Hypocycloid = (Perimeter of Hypocycloid*Number of Cusps of Hypocycloid)/(8*(Number of Cusps of Hypocycloid-1)).

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=Chord Length of Hypocycloid/(2*sin(pi/Number of Cusps of Hypocycloid))
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 Perimeter be negative?

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

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

Larger Radius 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 Larger Radius of Hypocycloid given Perimeter can be measured.

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Larger Radius of Hypocycloid given Perimeter Formula

​GoLarger Radius of Hypocycloid given Smaller Radius Formula

​GoLarger Radius of Hypocycloid given Chord Length Formula

Larger Radius of Hypocycloid given Perimeter Example

Larger Radius of Hypocycloid given Perimeter Solution

Larger Radius of Hypocycloid given Perimeter Formula Elements

Other Formulas to find Larger Radius of Hypocycloid

How to Evaluate Larger Radius of Hypocycloid given Perimeter?

FAQs on Larger Radius of Hypocycloid given Perimeter

Variable Name

GoLarger Radius of Hypocycloid given Smaller Radius Formula

GoLarger Radius of Hypocycloid given Chord Length Formula