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Edge Length of Polygram given Base Length Formula

GoEdge Length of Polygram given Perimeter Formula

GoEdge Length of Polygram given Spike Height Formula

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The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end. Check FAQs

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

l_e - Edge Length of Polygram?l_Base - Base Length of Polygram?∠_Inner - Inner Angle of Polygram?

Edge Length of Polygram given Base Length Example

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Here is how the Edge Length of Polygram given Base Length equation looks like with Values.

Here is how the Edge Length of Polygram given Base Length equation looks like with Units.

Here is how the Edge Length of Polygram given Base Length equation looks like.

4.9849 = \frac{6}{\sqrt{2 \cdot (1 - \cos (74))}}

4.9849m = \frac{6m}{\sqrt{2 \cdot (1 - \cos (74°))}}

4.9849 = \frac{6}{\sqrt{2 \cdot (1 - \cos (74))}}

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Edge Length of Polygram given Base Length Solution

Follow our step by step solution on how to calculate Edge Length of Polygram given Base Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{6m}{\sqrt{2 \cdot (1 - \cos (74°))}}

Next Step Convert Units

∴

l e = \frac{6m}{\sqrt{2 \cdot (1 - \cos (1.2915rad))}}

Next Step Prepare to Evaluate

∴

l e = \frac{6}{\sqrt{2 \cdot (1 - \cos (1.2915))}}

Next Step Evaluate

∴

l e = 4.98492042336826m

LAST Step Rounding Answer

∴

l e = 4.9849m

Edge Length of Polygram given Base Length Formula Elements

Variables

Functions

Edge Length of Polygram

The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Polygram

Base Length of Polygram

The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Edge Length of Polygram

Go Edge Length of Polygram given Perimeter

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

Go Edge Length of Polygram given Spike Height

l e = \sqrt{{h Spike}^{2} + \frac{{l Base}^{2}}{4}}

Go Edge Length of Polygram given Chord Length

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

How to Evaluate Edge Length of Polygram given Base Length?

Edge Length of Polygram given Base Length evaluator uses Edge Length of Polygram = Base Length of Polygram/sqrt(2*(1-cos(Inner Angle of Polygram))) to evaluate the Edge Length of Polygram, The Edge Length of Polygram given Base Length formula is defined as the length of the equal sides of the isosceles triangle attached to the n-sided polygon of the Polygram and calculated using the base length of the Polygram. Edge Length of Polygram is denoted by l_e symbol.

How to evaluate Edge Length of Polygram given Base Length using this online evaluator? To use this online evaluator for Edge Length of Polygram given Base Length, enter Base Length of Polygram (l_Base) & Inner Angle of Polygram (∠_Inner) and hit the calculate button.

FAQs on Edge Length of Polygram given Base Length

What is the formula to find Edge Length of Polygram given Base Length?

The formula of Edge Length of Polygram given Base Length is expressed as Edge Length of Polygram = Base Length of Polygram/sqrt(2*(1-cos(Inner Angle of Polygram))). Here is an example- 4.98492 = 6/sqrt(2*(1-cos(1.29154364647556))).

How to calculate Edge Length of Polygram given Base Length?

With Base Length of Polygram (l_Base) & Inner Angle of Polygram (∠_Inner) we can find Edge Length of Polygram given Base Length using the formula - Edge Length of Polygram = Base Length of Polygram/sqrt(2*(1-cos(Inner Angle of Polygram))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Polygram?

Here are the different ways to Calculate Edge Length of Polygram-

Edge Length of Polygram=Perimeter of Polygram/(2*Number of Spikes in Polygram)
Edge Length of Polygram=sqrt(Spike Height of Polygram^2+Base Length of Polygram^2/4)
Edge Length of Polygram=Chord Length of Polygram/sqrt(2*(1-cos(Outer Angle of Polygram)))

Can the Edge Length of Polygram given Base Length be negative?

No, the Edge Length of Polygram given Base Length, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Polygram given Base Length?

Edge Length of Polygram given Base Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Polygram given Base Length can be measured.

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