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Outer Angle of Polygram Formula

GoOuter Angle of Polygram given Chord Length Formula

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The Outer Angle of Polygram is the angle between any two adjacent isosceles triangles which forms the spikes of the Polygram. Check FAQs

∠ Outer = \frac{2 \cdot π}{N Spikes} + ∠ Inner

∠_Outer - Outer Angle of Polygram?N_Spikes - Number of Spikes in Polygram?∠_Inner - Inner Angle of Polygram?π - Archimedes' constant?

Outer Angle of Polygram Example

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

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

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

110 = \frac{2 \cdot 3.1416}{10} + 74

110° = \frac{2 \cdot 3.1416}{10} + 74°

110 = \frac{2 \cdot 3.1416}{10} + 74

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Outer Angle of Polygram Solution

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

FIRST Step Consider the formula

∠ Outer = \frac{2 \cdot π}{N Spikes} + ∠ Inner

Next Step Substitute values of Variables

∴

∠ Outer = \frac{2 \cdot π}{10} + 74°

Next Step Substitute values of Constants

∴

∠ Outer = \frac{2 \cdot 3.1416}{10} + 74°

Next Step Convert Units

∴

∠ Outer = \frac{2 \cdot 3.1416}{10} + 1.2915rad

Next Step Prepare to Evaluate

∴

∠ Outer = \frac{2 \cdot 3.1416}{10} + 1.2915

Next Step Evaluate

∴

∠ Outer = 1.91986217719352rad

Next Step Convert to Output's Unit

∴

∠ Outer = 110.000000000007°

LAST Step Rounding Answer

∴

∠ Outer = 110°

Outer Angle of Polygram Formula Elements

Variables

Constants

Outer Angle of Polygram

The Outer Angle of Polygram is the angle between any two adjacent isosceles triangles which forms the spikes of the Polygram.

Symbol: ∠_Outer

Measurement: AngleUnit: °

Note: Value should be between 0 to 300.

Formulas to find Outer Angle of Polygram

Number of Spikes in Polygram

The Number of Spikes in Polygram is the total count of isosceles triangular spikes the Polygram has or the total number of sides of the polygon on which the spikes are attached to form the Polygram.

Symbol: N_Spikes

Measurement: NAUnit: Unitless

Note: Value should be greater than 2.

Formulas to find Number of Spikes in Polygram

Inner Angle of Polygram

The Inner Angle of Polygram is the unequal angle of the isosceles triangle which forms the spikes of the Polygram or the angle inside the tip of any spike of Polygram.

Symbol: ∠_Inner

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Inner Angle of Polygram

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 to find Outer Angle of Polygram

Go Outer Angle of Polygram given Chord Length

∠ Outer = \arccos (\frac{(2 \cdot {l e}^{2}) - {l c}^{2}}{2 \cdot {l e}^{2}})

How to Evaluate Outer Angle of Polygram?

Outer Angle of Polygram evaluator uses Outer Angle of Polygram = (2*pi)/Number of Spikes in Polygram+Inner Angle of Polygram to evaluate the Outer Angle of Polygram, The Outer Angle of Polygram formula is defined as the angle between two adjacent isosceles triangles attached to the n-sided polygon of the whole Polygram. Outer Angle of Polygram is denoted by ∠_Outer symbol.

How to evaluate Outer Angle of Polygram using this online evaluator? To use this online evaluator for Outer Angle of Polygram, enter Number of Spikes in Polygram (N_Spikes) & Inner Angle of Polygram (∠_Inner) and hit the calculate button.

FAQs on Outer Angle of Polygram

What is the formula to find Outer Angle of Polygram?

The formula of Outer Angle of Polygram is expressed as Outer Angle of Polygram = (2*pi)/Number of Spikes in Polygram+Inner Angle of Polygram. Here is an example- 6302.536 = (2*pi)/10+1.29154364647556.

How to calculate Outer Angle of Polygram?

With Number of Spikes in Polygram (N_Spikes) & Inner Angle of Polygram (∠_Inner) we can find Outer Angle of Polygram using the formula - Outer Angle of Polygram = (2*pi)/Number of Spikes in Polygram+Inner Angle of Polygram. This formula also uses Archimedes' constant .

What are the other ways to Calculate Outer Angle of Polygram?

Here are the different ways to Calculate Outer Angle of Polygram-

Outer Angle of Polygram=arccos(((2*Edge Length of Polygram^2)-Chord Length of Polygram^2)/(2*Edge Length of Polygram^2))

Can the Outer Angle of Polygram be negative?

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

Which unit is used to measure Outer Angle of Polygram?

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

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