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Edge Length of Polygram given Chord Length Formula

GoEdge Length of Polygram given Base Length Formula

GoEdge Length of Polygram given Perimeter 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 c}{\sqrt{2 \cdot (1 - \cos (∠ Outer))}}

l_e - Edge Length of Polygram?l_c - Chord Length of Polygram?∠_Outer - Outer Angle of Polygram?

Edge Length of Polygram given Chord Length Example

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With units

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

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

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

4.8831 = \frac{8}{\sqrt{2 \cdot (1 - \cos (110))}}

4.8831m = \frac{8m}{\sqrt{2 \cdot (1 - \cos (110°))}}

4.8831 = \frac{8}{\sqrt{2 \cdot (1 - \cos (110))}}

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Edge Length of Polygram given Chord Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{8m}{\sqrt{2 \cdot (1 - \cos (110°))}}

Next Step Convert Units

∴

l e = \frac{8m}{\sqrt{2 \cdot (1 - \cos (1.9199rad))}}

Next Step Prepare to Evaluate

∴

l e = \frac{8}{\sqrt{2 \cdot (1 - \cos (1.9199))}}

Next Step Evaluate

∴

l e = 4.88309835504644m

LAST Step Rounding Answer

∴

l e = 4.8831m

Edge Length of Polygram given Chord 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

Chord Length of Polygram

The Chord Length of Polygram is the distance between any two adjacent spike tips of the Polygram from one tip to other tip.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length of 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

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 Base Length

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

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}}

How to Evaluate Edge Length of Polygram given Chord Length?

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

How to evaluate Edge Length of Polygram given Chord Length using this online evaluator? To use this online evaluator for Edge Length of Polygram given Chord Length, enter Chord Length of Polygram (l_c) & Outer Angle of Polygram (∠_Outer) and hit the calculate button.

FAQs on Edge Length of Polygram given Chord Length

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

The formula of Edge Length of Polygram given Chord Length is expressed as Edge Length of Polygram = Chord Length of Polygram/sqrt(2*(1-cos(Outer Angle of Polygram))). Here is an example- 4.883098 = 8/sqrt(2*(1-cos(1.9198621771934))).

How to calculate Edge Length of Polygram given Chord Length?

With Chord Length of Polygram (l_c) & Outer Angle of Polygram (∠_Outer) we can find Edge Length of Polygram given Chord Length using the formula - Edge Length of Polygram = Chord Length of Polygram/sqrt(2*(1-cos(Outer 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=Base Length of Polygram/sqrt(2*(1-cos(Inner Angle 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)

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

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

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

Edge Length of Polygram given Chord 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 Chord Length can be measured.

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