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Outer Angle of Fourstar Formula

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The Outer Angle of Fourstar is the angle between adjacent isosceles triangle or the triangular spikes that attached to the square of the Fourstar. Check FAQs

∠ Outer = ∠ Inner + \frac{π}{2}

∠_Outer - Outer Angle of Fourstar?∠_Inner - Inner Angle of Fourstar?π - Archimedes' constant?

Outer Angle of Fourstar Example

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With units

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Here is how the Outer Angle of Fourstar equation looks like with Values.

Here is how the Outer Angle of Fourstar equation looks like with Units.

Here is how the Outer Angle of Fourstar equation looks like.

165 = 75 + \frac{3.1416}{2}

165° = 75° + \frac{3.1416}{2}

165 = 75 + \frac{3.1416}{2}

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Outer Angle of Fourstar Solution

Follow our step by step solution on how to calculate Outer Angle of Fourstar?

FIRST Step Consider the formula

∠ Outer = ∠ Inner + \frac{π}{2}

Next Step Substitute values of Variables

∴

∠ Outer = 75° + \frac{π}{2}

Next Step Substitute values of Constants

∴

∠ Outer = 75° + \frac{3.1416}{2}

Next Step Convert Units

∴

∠ Outer = 1.309rad + \frac{3.1416}{2}

Next Step Prepare to Evaluate

∴

∠ Outer = 1.309 + \frac{3.1416}{2}

Next Step Evaluate

∴

∠ Outer = 2.8797932657904rad

Next Step Convert to Output's Unit

∴

∠ Outer = 165.000000000017°

LAST Step Rounding Answer

∴

∠ Outer = 165°

Outer Angle of Fourstar Formula Elements

Variables

Constants

Outer Angle of Fourstar

The Outer Angle of Fourstar is the angle between adjacent isosceles triangle or the triangular spikes that attached to the square of the Fourstar.

Symbol: ∠_Outer

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Outer Angle of Fourstar

Inner Angle of Fourstar

The Inner Angle of Fourstar is the unequal angle of the isosceles triangle that attached to the square or the angle between the edges which form the triangular spike, of the Fourstar.

Symbol: ∠_Inner

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Inner Angle of Fourstar

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

Other formulas in Fourstar category

Go Spike Base of Fourstar

b Spike = \sqrt{2 \cdot {l e}^{2} \cdot (1 - \cos (∠ Inner))}

Go Spike Height of Fourstar given Inner Angle

h Spike = \frac{l e}{2} \cdot \sqrt{2 \cdot (1 + \cos (∠ Inner))}

Go Diameter of Fourstar given Edge Length and Inner Angle

D = l e \cdot \sqrt{2} \cdot (\sqrt{1 + \cos (∠ Inner)} + \sqrt{1 - \cos (∠ Inner)})

Go Chord Length of Fourstar

l c = \sqrt{2 \cdot {l e}^{2} \cdot (1 - \cos (∠ Outer))}

How to Evaluate Outer Angle of Fourstar?

Outer Angle of Fourstar evaluator uses Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2 to evaluate the Outer Angle of Fourstar, The Outer Angle of Fourstar formula is defined as the angle between nearby edges of any two adjacent petals of the Fourstar. Outer Angle of Fourstar is denoted by ∠_Outer symbol.

How to evaluate Outer Angle of Fourstar using this online evaluator? To use this online evaluator for Outer Angle of Fourstar, enter Inner Angle of Fourstar (∠_Inner) and hit the calculate button.

FAQs on Outer Angle of Fourstar

What is the formula to find Outer Angle of Fourstar?

The formula of Outer Angle of Fourstar is expressed as Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2. Here is an example- 9453.804 = 1.3089969389955+pi/2.

How to calculate Outer Angle of Fourstar?

With Inner Angle of Fourstar (∠_Inner) we can find Outer Angle of Fourstar using the formula - Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2. This formula also uses Archimedes' constant .

Can the Outer Angle of Fourstar be negative?

No, the Outer Angle of Fourstar, measured in Angle cannot be negative.

Which unit is used to measure Outer Angle of Fourstar?

Outer Angle of Fourstar is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Outer Angle of Fourstar can be measured.

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