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Inner Angle of Polygram given Base Length Formula

GoInner Angle of Polygram given Outer Angle Formula

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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. Check FAQs

∠ Inner = \arccos (\frac{(2 \cdot {l e}^{2}) - {l Base}^{2}}{2 \cdot {l e}^{2}})

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

Inner Angle of Polygram given Base Length Example

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

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

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

73.7398 = \arccos (\frac{(2 \cdot 5^{2}) - 6^{2}}{2 \cdot 5^{2}})

73.7398° = \arccos (\frac{(2 \cdot {5m}^{2}) - {6m}^{2}}{2 \cdot {5m}^{2}})

73.7398 = \arccos (\frac{(2 \cdot 5^{2}) - 6^{2}}{2 \cdot 5^{2}})

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Inner Angle of Polygram given Base Length Solution

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

FIRST Step Consider the formula

∠ Inner = \arccos (\frac{(2 \cdot {l e}^{2}) - {l Base}^{2}}{2 \cdot {l e}^{2}})

Next Step Substitute values of Variables

∴

∠ Inner = \arccos (\frac{(2 \cdot {5m}^{2}) - {6m}^{2}}{2 \cdot {5m}^{2}})

Next Step Prepare to Evaluate

∴

∠ Inner = \arccos (\frac{(2 \cdot 5^{2}) - 6^{2}}{2 \cdot 5^{2}})

Next Step Evaluate

∴

∠ Inner = 1.28700221758657rad

Next Step Convert to Output's Unit

∴

∠ Inner = 73.7397952917019°

LAST Step Rounding Answer

∴

∠ Inner = 73.7398°

Inner Angle of Polygram given Base Length Formula Elements

Variables

Functions

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

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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

arccos

Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: arccos(Number)

Other Formulas to find Inner Angle of Polygram

Go Inner Angle of Polygram given Outer Angle

∠ Inner = ∠ Outer - \frac{2 \cdot π}{N Spikes}

How to Evaluate Inner Angle of Polygram given Base Length?

Inner Angle of Polygram given Base Length evaluator uses Inner Angle of Polygram = arccos(((2*Edge Length of Polygram^2)-Base Length of Polygram^2)/(2*Edge Length of Polygram^2)) to evaluate the Inner Angle of Polygram, The Inner Angle of Polygram given Base Length formula is defined as the unequal angle of the isosceles triangles which are attached to the polygon of the Polygram and calculated using base length. Inner Angle of Polygram is denoted by ∠_Inner symbol.

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

FAQs on Inner Angle of Polygram given Base Length

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

The formula of Inner Angle of Polygram given Base Length is expressed as Inner Angle of Polygram = arccos(((2*Edge Length of Polygram^2)-Base Length of Polygram^2)/(2*Edge Length of Polygram^2)). Here is an example- 4224.979 = arccos(((2*5^2)-6^2)/(2*5^2)).

How to calculate Inner Angle of Polygram given Base Length?

With Edge Length of Polygram (l_e) & Base Length of Polygram (l_Base) we can find Inner Angle of Polygram given Base Length using the formula - Inner Angle of Polygram = arccos(((2*Edge Length of Polygram^2)-Base Length of Polygram^2)/(2*Edge Length of Polygram^2)). This formula also uses Cosine (cos), Inverse Cosine (arccos) function(s).

What are the other ways to Calculate Inner Angle of Polygram?

Here are the different ways to Calculate Inner Angle of Polygram-

Inner Angle of Polygram=Outer Angle of Polygram-(2*pi)/Number of Spikes in Polygram

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

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

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

Inner Angle of Polygram given Base Length is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Inner Angle of Polygram given Base Length can be measured.

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