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Angle Beta of Antiparallelogram Formula

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Angle β of Antiparallelogram is the angle between a long side and a short side of Antiparallelogram. Check FAQs

∠β = \arccos (\frac{{S Short}^{2} + {d' Long(Long side)}^{2} - {d' Short(Long side)}^{2}}{2 \cdot S Short \cdot d' Long(Long side)})

∠β - Angle β of Antiparallelogram?S_Short - Short Side of Antiparallelogram?d'_{Long(Long side)} - Long Section of Long Side of Antiparallelogram?d'_{Short(Long side)} - Short Section of Long Side of Antiparallelogram?

Angle Beta of Antiparallelogram Example

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Here is how the Angle Beta of Antiparallelogram equation looks like with Values.

Here is how the Angle Beta of Antiparallelogram equation looks like with Units.

Here is how the Angle Beta of Antiparallelogram equation looks like.

15.3589 = \arccos (\frac{7^{2} + 6^{2} - 2^{2}}{2 \cdot 7 \cdot 6})

15.3589° = \arccos (\frac{{7m}^{2} + {6m}^{2} - {2m}^{2}}{2 \cdot 7m \cdot 6m})

15.3589 = \arccos (\frac{7^{2} + 6^{2} - 2^{2}}{2 \cdot 7 \cdot 6})

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Angle Beta of Antiparallelogram Solution

Follow our step by step solution on how to calculate Angle Beta of Antiparallelogram?

FIRST Step Consider the formula

∠β = \arccos (\frac{{S Short}^{2} + {d' Long(Long side)}^{2} - {d' Short(Long side)}^{2}}{2 \cdot S Short \cdot d' Long(Long side)})

Next Step Substitute values of Variables

∴

∠β = \arccos (\frac{{7m}^{2} + {6m}^{2} - {2m}^{2}}{2 \cdot 7m \cdot 6m})

Next Step Prepare to Evaluate

∴

∠β = \arccos (\frac{7^{2} + 6^{2} - 2^{2}}{2 \cdot 7 \cdot 6})

Next Step Evaluate

∴

∠β = 0.268063122822438rad

Next Step Convert to Output's Unit

∴

∠β = 15.3588855808256°

LAST Step Rounding Answer

∴

∠β = 15.3589°

Angle Beta of Antiparallelogram Formula Elements

Variables

Functions

Angle β of Antiparallelogram

Angle β of Antiparallelogram is the angle between a long side and a short side of Antiparallelogram.

Symbol: ∠β

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle β of Antiparallelogram

Short Side of Antiparallelogram

Short Side of Antiparallelogram is the measurement of the length of the shortest side of Antiparallelogram.

Symbol: S_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Side of Antiparallelogram

Long Section of Long Side of Antiparallelogram

Long Section of Long Side of Antiparallelogram is the length of longer section of the long side of Antiparallelogram.

Symbol: d'_{Long(Long side)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Section of Long Side of Antiparallelogram

Short Section of Long Side of Antiparallelogram

Short Section of Long Side of Antiparallelogram is the length of shorter section of the long side of Antiparallelogram.

Symbol: d'_{Short(Long side)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Section of Long Side of Antiparallelogram

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 in Angle of Antiparallelogram category

Go Angle Alpha of Antiparallelogram

∠α = \arccos (\frac{{d' Short(Long side)}^{2} + {d' Long(Long side)}^{2} - {S Short}^{2}}{2 \cdot d' Short(Long side) \cdot d' Long(Long side)})

Go Angle Gamma of Antiparallelogram

∠γ = \arccos (\frac{{S Short}^{2} + {d' Short(Long side)}^{2} - {d' Long(Long side)}^{2}}{2 \cdot S Short \cdot d' Short(Long side)})

Go Outer Angle Delta of Antiparallelogram

∠δ = π - ∠α

How to Evaluate Angle Beta of Antiparallelogram?

Angle Beta of Antiparallelogram evaluator uses Angle β of Antiparallelogram = arccos((Short Side of Antiparallelogram^2+Long Section of Long Side of Antiparallelogram^2-Short Section of Long Side of Antiparallelogram^2)/(2*Short Side of Antiparallelogram*Long Section of Long Side of Antiparallelogram)) to evaluate the Angle β of Antiparallelogram, The Angle Beta of Antiparallelogram formula is defined as the angle between a long side and a short side of Antiparallelogram. Angle β of Antiparallelogram is denoted by ∠β symbol.

How to evaluate Angle Beta of Antiparallelogram using this online evaluator? To use this online evaluator for Angle Beta of Antiparallelogram, enter Short Side of Antiparallelogram (S_Short), Long Section of Long Side of Antiparallelogram (d'_{Long(Long side)}) & Short Section of Long Side of Antiparallelogram (d'_{Short(Long side)}) and hit the calculate button.

FAQs on Angle Beta of Antiparallelogram

What is the formula to find Angle Beta of Antiparallelogram?

The formula of Angle Beta of Antiparallelogram is expressed as Angle β of Antiparallelogram = arccos((Short Side of Antiparallelogram^2+Long Section of Long Side of Antiparallelogram^2-Short Section of Long Side of Antiparallelogram^2)/(2*Short Side of Antiparallelogram*Long Section of Long Side of Antiparallelogram)). Here is an example- 879.9993 = arccos((7^2+6^2-2^2)/(2*7*6)).

How to calculate Angle Beta of Antiparallelogram?

With Short Side of Antiparallelogram (S_Short), Long Section of Long Side of Antiparallelogram (d'_{Long(Long side)}) & Short Section of Long Side of Antiparallelogram (d'_{Short(Long side)}) we can find Angle Beta of Antiparallelogram using the formula - Angle β of Antiparallelogram = arccos((Short Side of Antiparallelogram^2+Long Section of Long Side of Antiparallelogram^2-Short Section of Long Side of Antiparallelogram^2)/(2*Short Side of Antiparallelogram*Long Section of Long Side of Antiparallelogram)). This formula also uses Cosine (cos), Inverse Cosine (arccos) function(s).

Can the Angle Beta of Antiparallelogram be negative?

Yes, the Angle Beta of Antiparallelogram, measured in Angle can be negative.

Which unit is used to measure Angle Beta of Antiparallelogram?

Angle Beta of Antiparallelogram is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle Beta of Antiparallelogram can be measured.

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Angle Beta of Antiparallelogram Formula

Angle Beta of Antiparallelogram Example

Angle Beta of Antiparallelogram Solution

Angle Beta of Antiparallelogram Formula Elements

Other formulas in Angle of Antiparallelogram category

How to Evaluate Angle Beta of Antiparallelogram?

FAQs on Angle Beta of Antiparallelogram

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