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Chord Length of Fourstar Formula

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The Chord Length of Fourstar is the distance between any two adjacent spike tips of the Fourstar 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 Fourstar?l_e - Edge Length of Fourstar?∠_Outer - Outer Angle of Fourstar?

Chord Length of Fourstar Example

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With units

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

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

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

9.9144 = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (165))}

9.9144m = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (165°))}

9.9144 = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (165))}

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Chord Length of Fourstar Solution

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

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 (165°))}

Next Step Convert Units

∴

l c = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (2.8798rad))}

Next Step Prepare to Evaluate

∴

l c = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (2.8798))}

Next Step Evaluate

∴

l c = 9.91444861373775m

LAST Step Rounding Answer

∴

l c = 9.9144m

Chord Length of Fourstar Formula Elements

Variables

Functions

Chord Length of Fourstar

The Chord Length of Fourstar is the distance between any two adjacent spike tips of the Fourstar 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 Fourstar

Edge Length of Fourstar

The Edge Length of Fourstar is the length of any edge of the Fourstar 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 Fourstar

Outer Angle of Fourstar

The Outer Angle of Fourstar is the angle between adjacent isosceles triangle or the triangular spikes that attached to the square of the Fourstar.

Symbol: ∠_Outer

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Outer Angle of Fourstar

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 in Fourstar category

Go Outer Angle of Fourstar

∠ Outer = ∠ Inner + \frac{π}{2}

Go Spike Base of Fourstar

b Spike = \sqrt{2 \cdot {l e}^{2} \cdot (1 - \cos (∠ Inner))}

Go Spike Height of Fourstar given Inner Angle

h Spike = \frac{l e}{2} \cdot \sqrt{2 \cdot (1 + \cos (∠ Inner))}

Go Diameter of Fourstar given Edge Length and Inner Angle

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

How to Evaluate Chord Length of Fourstar?

Chord Length of Fourstar evaluator uses Chord Length of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Outer Angle of Fourstar))) to evaluate the Chord Length of Fourstar, The Chord Length of Fourstar formula is defined as the length of the line joining adjacent triangular tips of the given Fourstar. Chord Length of Fourstar is denoted by l_c symbol.

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

FAQs on Chord Length of Fourstar

What is the formula to find Chord Length of Fourstar?

The formula of Chord Length of Fourstar is expressed as Chord Length of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Outer Angle of Fourstar))). Here is an example- 9.914449 = sqrt(2*5^2*(1-cos(2.8797932657901))).

How to calculate Chord Length of Fourstar?

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

Can the Chord Length of Fourstar be negative?

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

Which unit is used to measure Chord Length of Fourstar?

Chord Length of Fourstar 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 Fourstar can be measured.

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