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Base Length of Polygram given Inner Angle Formula

GoBase Length of Polygram given Spike Height Formula

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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. Check FAQs

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

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

Base Length of Polygram given Inner Angle Example

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

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

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

6.0182 = 5 \cdot \sqrt{2 \cdot (1 - \cos (74))}

6.0182m = 5m \cdot \sqrt{2 \cdot (1 - \cos (74°))}

6.0182 = 5 \cdot \sqrt{2 \cdot (1 - \cos (74))}

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Base Length of Polygram given Inner Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Base = 5m \cdot \sqrt{2 \cdot (1 - \cos (74°))}

Next Step Convert Units

∴

l Base = 5m \cdot \sqrt{2 \cdot (1 - \cos (1.2915rad))}

Next Step Prepare to Evaluate

∴

l Base = 5 \cdot \sqrt{2 \cdot (1 - \cos (1.2915))}

Next Step Evaluate

∴

l Base = 6.01815023151951m

LAST Step Rounding Answer

∴

l Base = 6.0182m

Base Length of Polygram given Inner Angle Formula Elements

Variables

Functions

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

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

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 Base Length of Polygram

Go Base Length of Polygram given Spike Height

l Base = 2 \cdot \sqrt{{l e}^{2} - {h Spike}^{2}}

How to Evaluate Base Length of Polygram given Inner Angle?

Base Length of Polygram given Inner Angle evaluator uses Base Length of Polygram = Edge Length of Polygram*sqrt(2*(1-cos(Inner Angle of Polygram))) to evaluate the Base Length of Polygram, The Base Length of Polygram given Inner Angle formula is defined as the measurement of the baseline of the isosceles triangle (Spike of the Polygram) attached to the n-sided polygon of the Polygram and calculated using the inner angle. Base Length of Polygram is denoted by l_Base symbol.

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

FAQs on Base Length of Polygram given Inner Angle

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

The formula of Base Length of Polygram given Inner Angle is expressed as Base Length of Polygram = Edge Length of Polygram*sqrt(2*(1-cos(Inner Angle of Polygram))). Here is an example- 6.01815 = 5*sqrt(2*(1-cos(1.29154364647556))).

How to calculate Base Length of Polygram given Inner Angle?

With Edge Length of Polygram (l_e) & Inner Angle of Polygram (∠_Inner) we can find Base Length of Polygram given Inner Angle using the formula - Base Length of Polygram = Edge 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 Base Length of Polygram?

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

Base Length of Polygram=2*sqrt(Edge Length of Polygram^2-Spike Height of Polygram^2)

Can the Base Length of Polygram given Inner Angle be negative?

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

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

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

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