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Number of Spikes in Polygram given Outer and Inner Angles Formula

GoNumber of Spikes in Polygram given Perimeter Formula

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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. Check FAQs

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

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

Number of Spikes in Polygram given Outer and Inner Angles Example

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Here is how the Number of Spikes in Polygram given Outer and Inner Angles equation looks like with Values.

Here is how the Number of Spikes in Polygram given Outer and Inner Angles equation looks like with Units.

Here is how the Number of Spikes in Polygram given Outer and Inner Angles equation looks like.

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

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

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

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Number of Spikes in Polygram given Outer and Inner Angles Solution

Follow our step by step solution on how to calculate Number of Spikes in Polygram given Outer and Inner Angles?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N Spikes = \frac{2 \cdot π}{110° - 74°}

Next Step Substitute values of Constants

∴

N Spikes = \frac{2 \cdot 3.1416}{110° - 74°}

Next Step Convert Units

∴

N Spikes = \frac{2 \cdot 3.1416}{1.9199rad - 1.2915rad}

Next Step Prepare to Evaluate

∴

N Spikes = \frac{2 \cdot 3.1416}{1.9199 - 1.2915}

Next Step Evaluate

∴

N Spikes = 10.0000000000019

LAST Step Rounding Answer

∴

N Spikes = 10

Number of Spikes in Polygram given Outer and Inner Angles Formula Elements

Variables

Constants

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

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

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 Number of Spikes in Polygram

Go Number of Spikes in Polygram given Perimeter

N Spikes = \frac{P}{2 \cdot l e}

How to Evaluate Number of Spikes in Polygram given Outer and Inner Angles?

Number of Spikes in Polygram given Outer and Inner Angles evaluator uses Number of Spikes in Polygram = (2*pi)/(Outer Angle of Polygram-Inner Angle of Polygram) to evaluate the Number of Spikes in Polygram, The Number of Spikes in Polygram given Outer and Inner Angles formula is defined as the number of triangular extensions that a Polygram has, and calculated using the outer and inner angles. Number of Spikes in Polygram is denoted by N_Spikes symbol.

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

FAQs on Number of Spikes in Polygram given Outer and Inner Angles

What is the formula to find Number of Spikes in Polygram given Outer and Inner Angles?

The formula of Number of Spikes in Polygram given Outer and Inner Angles is expressed as Number of Spikes in Polygram = (2*pi)/(Outer Angle of Polygram-Inner Angle of Polygram). Here is an example- 10 = (2*pi)/(1.9198621771934-1.29154364647556).

How to calculate Number of Spikes in Polygram given Outer and Inner Angles?

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

What are the other ways to Calculate Number of Spikes in Polygram?

Here are the different ways to Calculate Number of Spikes in Polygram-

Number of Spikes in Polygram=Perimeter of Polygram/(2*Edge Length of Polygram)

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