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Chord Length of Polygram Formula

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

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

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

Chord Length of Polygram Example

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With units

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

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

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

8.1915 = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (110))}

8.1915m = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (110°))}

8.1915 = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (110))}

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Chord Length of Polygram Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (110°))}

Next Step Convert Units

∴

l c = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (1.9199rad))}

Next Step Prepare to Evaluate

∴

l c = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (1.9199))}

Next Step Evaluate

∴

l c = 8.19152044288888m

LAST Step Rounding Answer

∴

l c = 8.1915m

Chord Length of Polygram Formula Elements

Variables

Functions

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

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

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)

How to Evaluate Chord Length of Polygram?

Chord Length of Polygram evaluator uses Chord Length of Polygram = sqrt(2*Edge Length of Polygram^2*(1-cos(Outer Angle of Polygram))) to evaluate the Chord Length of Polygram, The Chord Length of Polygram formula is defined as the distance between peaks of two adjacent spikes or two adjacent isosceles triangles that are attached to the polygon of the whole Polygram. Chord Length of Polygram is denoted by l_c symbol.

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

FAQs on Chord Length of Polygram

What is the formula to find Chord Length of Polygram?

The formula of Chord Length of Polygram is expressed as Chord Length of Polygram = sqrt(2*Edge Length of Polygram^2*(1-cos(Outer Angle of Polygram))). Here is an example- 8.19152 = sqrt(2*5^2*(1-cos(1.9198621771934))).

How to calculate Chord Length of Polygram?

With Edge Length of Polygram (l_e) & Outer Angle of Polygram (∠_Outer) we can find Chord Length of Polygram using the formula - Chord Length of Polygram = sqrt(2*Edge Length of Polygram^2*(1-cos(Outer Angle of Polygram))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

Can the Chord Length of Polygram be negative?

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

Which unit is used to measure Chord Length of Polygram?

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

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