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Short Sides of Arrow Hexagon Formula

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Short Side of Arrow Hexagon is the measurement of the length of the shortest side of the Arrow Hexagon. Check FAQs

S Short = \sqrt{\frac{{w Gap}^{2}}{2 \cdot (1 - \cos (∠ Top))}}

S_Short - Short Side of Arrow Hexagon?w_Gap - Gap Width of Arrow Hexagon?∠_Top - Top Angle of Arrow Hexagon?

Short Sides of Arrow Hexagon Example

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Here is how the Short Sides of Arrow Hexagon equation looks like with Values.

Here is how the Short Sides of Arrow Hexagon equation looks like with Units.

Here is how the Short Sides of Arrow Hexagon equation looks like.

6.5328 = \sqrt{\frac{5^{2}}{2 \cdot (1 - \cos (45))}}

6.5328m = \sqrt{\frac{{5m}^{2}}{2 \cdot (1 - \cos (45°))}}

6.5328 = \sqrt{\frac{5^{2}}{2 \cdot (1 - \cos (45))}}

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Short Sides of Arrow Hexagon Solution

Follow our step by step solution on how to calculate Short Sides of Arrow Hexagon?

FIRST Step Consider the formula

S Short = \sqrt{\frac{{w Gap}^{2}}{2 \cdot (1 - \cos (∠ Top))}}

Next Step Substitute values of Variables

∴

S Short = \sqrt{\frac{{5m}^{2}}{2 \cdot (1 - \cos (45°))}}

Next Step Convert Units

∴

S Short = \sqrt{\frac{{5m}^{2}}{2 \cdot (1 - \cos (0.7854rad))}}

Next Step Prepare to Evaluate

∴

S Short = \sqrt{\frac{5^{2}}{2 \cdot (1 - \cos (0.7854))}}

Next Step Evaluate

∴

S Short = 6.53281482438304m

LAST Step Rounding Answer

∴

S Short = 6.5328m

Short Sides of Arrow Hexagon Formula Elements

Variables

Functions

Short Side of Arrow Hexagon

Short Side of Arrow Hexagon is the measurement of the length of the shortest side of the Arrow Hexagon.

Symbol: S_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Side of Arrow Hexagon

Gap Width of Arrow Hexagon

Gap Width of Arrow Hexagon is the measurement of the base of the smaller isosceles triangle, removed at the center of the base of Arrow Hexagon.

Symbol: w_Gap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Gap Width of Arrow Hexagon

Top Angle of Arrow Hexagon

Top Angle of Arrow Hexagon is defined as the angle between the two sides of equal length of the Arrow Hexagon.

Symbol: ∠_Top

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Top Angle of Arrow Hexagon

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 Arrow Hexagon category

Go Perimeter of Arrow Hexagon

P = 2 \cdot (S Long + S Base + S Short)

Go Area of Arrow Hexagon

A = \frac{(h Total \cdot w Base) - (h Gap \cdot w Gap)}{2}

Go Total Height of Arrow Hexagon

h Total = \sqrt{\frac{(4 \cdot {S Long}^{2}) - {w Base}^{2}}{4}}

Go Gap Height of Arrow Hexagon

h Gap = \sqrt{\frac{(4 \cdot {S Short}^{2}) - {w Gap}^{2}}{4}}

How to Evaluate Short Sides of Arrow Hexagon?

Short Sides of Arrow Hexagon evaluator uses Short Side of Arrow Hexagon = sqrt((Gap Width of Arrow Hexagon^2)/(2*(1-cos(Top Angle of Arrow Hexagon)))) to evaluate the Short Side of Arrow Hexagon, Short Sides of Arrow Hexagon formula is defined as the measurement of the length of the two sides of equal length of the isosceles triangle removed at the base. Short Side of Arrow Hexagon is denoted by S_Short symbol.

How to evaluate Short Sides of Arrow Hexagon using this online evaluator? To use this online evaluator for Short Sides of Arrow Hexagon, enter Gap Width of Arrow Hexagon (w_Gap) & Top Angle of Arrow Hexagon (∠_Top) and hit the calculate button.

FAQs on Short Sides of Arrow Hexagon

What is the formula to find Short Sides of Arrow Hexagon?

The formula of Short Sides of Arrow Hexagon is expressed as Short Side of Arrow Hexagon = sqrt((Gap Width of Arrow Hexagon^2)/(2*(1-cos(Top Angle of Arrow Hexagon)))). Here is an example- 6.532815 = sqrt((5^2)/(2*(1-cos(0.785398163397301)))).

How to calculate Short Sides of Arrow Hexagon?

With Gap Width of Arrow Hexagon (w_Gap) & Top Angle of Arrow Hexagon (∠_Top) we can find Short Sides of Arrow Hexagon using the formula - Short Side of Arrow Hexagon = sqrt((Gap Width of Arrow Hexagon^2)/(2*(1-cos(Top Angle of Arrow Hexagon)))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

Can the Short Sides of Arrow Hexagon be negative?

No, the Short Sides of Arrow Hexagon, measured in Length cannot be negative.

Which unit is used to measure Short Sides of Arrow Hexagon?

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

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Short Sides of Arrow Hexagon Formula

Short Sides of Arrow Hexagon Example

Short Sides of Arrow Hexagon Solution

Short Sides of Arrow Hexagon Formula Elements

Other formulas in Arrow Hexagon category

How to Evaluate Short Sides of Arrow Hexagon?

FAQs on Short Sides of Arrow Hexagon

Variable Name