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Larger Radius of Hypocycloid given Area 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 = N Cusps \cdot \sqrt{\frac{A}{π \cdot (N Cusps - 1) \cdot (N Cusps - 2)}}

r_Large - Larger Radius of Hypocycloid?N_Cusps - Number of Cusps of Hypocycloid?A - Area of Hypocycloid?π - Archimedes' constant?

Larger Radius of Hypocycloid given Area Example

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

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

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

9.9736 = 5 \cdot \sqrt{\frac{150}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

9.9736m = 5 \cdot \sqrt{\frac{150m²}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

9.9736 = 5 \cdot \sqrt{\frac{150}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

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Larger Radius of Hypocycloid given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

r Large = 5 \cdot \sqrt{\frac{150}{3.1416 \cdot (5 - 1) \cdot (5 - 2)}}

Next Step Evaluate

∴

r Large = 9.97355701003582m

LAST Step Rounding Answer

∴

r Large = 9.9736m

Larger Radius of Hypocycloid given Area 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

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

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

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 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 Perimeter

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

How to Evaluate Larger Radius of Hypocycloid given Area?

Larger Radius of Hypocycloid given Area evaluator uses 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))) to evaluate the Larger Radius of Hypocycloid, Larger Radius of Hypocycloid given Area 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 area of the Hypocycloid. Larger Radius of Hypocycloid is denoted by r_Large symbol.

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

FAQs on Larger Radius of Hypocycloid given Area

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

The formula of Larger Radius of Hypocycloid given Area is expressed as 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))). Here is an example- 9.973557 = 5*sqrt(150/(pi*(5-1)*(5-2))).

How to calculate Larger Radius of Hypocycloid given Area?

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

Can the Larger Radius of Hypocycloid given Area be negative?

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

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

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

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: Value
: Unit

Larger Radius of Hypocycloid given Area Formula

​GoLarger Radius of Hypocycloid given Smaller Radius Formula

​GoLarger Radius of Hypocycloid given Chord Length Formula

Larger Radius of Hypocycloid given Area Example

Larger Radius of Hypocycloid given Area Solution

Larger Radius of Hypocycloid given Area Formula Elements

Other Formulas to find Larger Radius of Hypocycloid

How to Evaluate Larger Radius of Hypocycloid given Area?

FAQs on Larger Radius of Hypocycloid given Area

Variable Name

GoLarger Radius of Hypocycloid given Smaller Radius Formula

GoLarger Radius of Hypocycloid given Chord Length Formula