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Perimeter of Hypocycloid given Area Formula

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GoPerimeter of Hypocycloid given Chord Length Formula

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

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

P - Perimeter of Hypocycloid?A - Area of Hypocycloid?N_Cusps - Number of Cusps of Hypocycloid?π - Archimedes' constant?

Perimeter of Hypocycloid given Area Example

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

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

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

63.8308 = 8 \cdot \sqrt{\frac{150 \cdot (5 - 1)}{3.1416 \cdot (5 - 2)}}

63.8308m = 8 \cdot \sqrt{\frac{150m² \cdot (5 - 1)}{3.1416 \cdot (5 - 2)}}

63.8308 = 8 \cdot \sqrt{\frac{150 \cdot (5 - 1)}{3.1416 \cdot (5 - 2)}}

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Perimeter of Hypocycloid given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 8 \cdot \sqrt{\frac{150m² \cdot (5 - 1)}{π \cdot (5 - 2)}}

Next Step Substitute values of Constants

∴

P = 8 \cdot \sqrt{\frac{150m² \cdot (5 - 1)}{3.1416 \cdot (5 - 2)}}

Next Step Prepare to Evaluate

∴

P = 8 \cdot \sqrt{\frac{150 \cdot (5 - 1)}{3.1416 \cdot (5 - 2)}}

Next Step Evaluate

∴

P = 63.8307648642292m

LAST Step Rounding Answer

∴

P = 63.8308m

Perimeter of Hypocycloid given Area Formula Elements

Variables

Constants

Functions

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

Area of Hypocycloid

Area of Hypocycloid is the total quantity of plane enclosed by the boundary of the Hypocycloid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Hypocycloid

Go Perimeter of Hypocycloid

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

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}

How to Evaluate Perimeter of Hypocycloid given Area?

Perimeter of Hypocycloid given Area evaluator uses Perimeter of Hypocycloid = 8*sqrt((Area of Hypocycloid*(Number of Cusps of Hypocycloid-1))/(pi*(Number of Cusps of Hypocycloid-2))) to evaluate the Perimeter of Hypocycloid, Perimeter of Hypocycloid given Area is defined as the total length of all the boundary edges of the Hypocycloid, and calculated using the area of the Hypocycloid. Perimeter of Hypocycloid is denoted by P symbol.

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

FAQs on Perimeter of Hypocycloid given Area

What is the formula to find Perimeter of Hypocycloid given Area?

The formula of Perimeter of Hypocycloid given Area is expressed as Perimeter of Hypocycloid = 8*sqrt((Area of Hypocycloid*(Number of Cusps of Hypocycloid-1))/(pi*(Number of Cusps of Hypocycloid-2))). Here is an example- 63.83076 = 8*sqrt((150*(5-1))/(pi*(5-2))).

How to calculate Perimeter of Hypocycloid given Area?

With Area of Hypocycloid (A) & Number of Cusps of Hypocycloid (N_Cusps) we can find Perimeter of Hypocycloid given Area using the formula - Perimeter of Hypocycloid = 8*sqrt((Area of Hypocycloid*(Number of Cusps of Hypocycloid-1))/(pi*(Number of Cusps of Hypocycloid-2))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Hypocycloid?

Here are the different ways to Calculate Perimeter of Hypocycloid-

Perimeter of Hypocycloid=(8*Larger Radius of Hypocycloid*(Number of Cusps of Hypocycloid-1))/Number of Cusps 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

Can the Perimeter of Hypocycloid given Area be negative?

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

Which unit is used to measure Perimeter of Hypocycloid given Area?

Perimeter of Hypocycloid given Area 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 given Area can be measured.

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Perimeter of Hypocycloid given Area Formula

​GoPerimeter of Hypocycloid Formula

​GoPerimeter of Hypocycloid given Chord Length Formula

Perimeter of Hypocycloid given Area Example

Perimeter of Hypocycloid given Area Solution

Perimeter of Hypocycloid given Area Formula Elements

Other Formulas to find Perimeter of Hypocycloid

How to Evaluate Perimeter of Hypocycloid given Area?

FAQs on Perimeter of Hypocycloid given Area

Variable Name

GoPerimeter of Hypocycloid Formula

GoPerimeter of Hypocycloid given Chord Length Formula