FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Perimeter of Hypocycloid Formula

GoPerimeter of Hypocycloid given Chord Length Formula

GoPerimeter of Hypocycloid given Area Formula

Fx Copy

LaTeX Copy

Perimeter of Hypocycloid is the total length of all the boundary edges of the Hypocycloid. Check FAQs

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

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

Perimeter of Hypocycloid Example

With values

With units

Only example

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

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

Here is how the Perimeter of Hypocycloid equation looks like.

64 = \frac{8 \cdot 10 \cdot (5 - 1)}{5}

64m = \frac{8 \cdot 10m \cdot (5 - 1)}{5}

64 = \frac{8 \cdot 10 \cdot (5 - 1)}{5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Perimeter of Hypocycloid

Perimeter of Hypocycloid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{8 \cdot 10m \cdot (5 - 1)}{5}

Next Step Prepare to Evaluate

∴

P = \frac{8 \cdot 10 \cdot (5 - 1)}{5}

LAST Step Evaluate

∴

P = 64m

Perimeter of Hypocycloid Formula Elements

Variables

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

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

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 Perimeter of Hypocycloid

Go Perimeter of Hypocycloid given Chord Length

P = \frac{4 \cdot l c}{\sin (\frac{π}{N Cusps})} \cdot \frac{N Cusps - 1}{N Cusps}

Go Perimeter of Hypocycloid given Area

P = 8 \cdot \sqrt{\frac{A \cdot (N Cusps - 1)}{π \cdot (N Cusps - 2)}}

How to Evaluate Perimeter of Hypocycloid?

Perimeter of Hypocycloid evaluator uses Perimeter of Hypocycloid = (8*Larger Radius of Hypocycloid*(Number of Cusps of Hypocycloid-1))/Number of Cusps of Hypocycloid to evaluate the Perimeter of Hypocycloid, Perimeter of Hypocycloid formula is defined as the total length of all the boundary edges of the Hypocycloid. Perimeter of Hypocycloid is denoted by P symbol.

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

FAQs on Perimeter of Hypocycloid

What is the formula to find Perimeter of Hypocycloid?

The formula of Perimeter of Hypocycloid is expressed as Perimeter of Hypocycloid = (8*Larger Radius of Hypocycloid*(Number of Cusps of Hypocycloid-1))/Number of Cusps of Hypocycloid. Here is an example- 64 = (8*10*(5-1))/5.

How to calculate Perimeter of Hypocycloid?

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

What are the other ways to Calculate Perimeter of Hypocycloid?

Here are the different ways to Calculate Perimeter of Hypocycloid-

Perimeter of Hypocycloid=(4*Chord Length of Hypocycloid)/(sin(pi/Number of Cusps of Hypocycloid))*(Number of Cusps of Hypocycloid-1)/Number of Cusps of Hypocycloid
Perimeter of Hypocycloid=8*sqrt((Area of Hypocycloid*(Number of Cusps of Hypocycloid-1))/(pi*(Number of Cusps of Hypocycloid-2)))

Can the Perimeter of Hypocycloid be negative?

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

Which unit is used to measure Perimeter of Hypocycloid?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Perimeter of Hypocycloid Formula

​GoPerimeter of Hypocycloid given Chord Length Formula

​GoPerimeter of Hypocycloid given Area Formula

Perimeter of Hypocycloid Example

Perimeter of Hypocycloid Solution

Perimeter of Hypocycloid Formula Elements

Other Formulas to find Perimeter of Hypocycloid

How to Evaluate Perimeter of Hypocycloid?

FAQs on Perimeter of Hypocycloid

Variable Name

GoPerimeter of Hypocycloid given Chord Length Formula

GoPerimeter of Hypocycloid given Area Formula