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Angle Alpha of Antiparallelogram Formula

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Angle α of Antiparallelogram is the angle between two intersecting long sides of Antiparallelogram. Check FAQs

∠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)})

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

Angle Alpha of Antiparallelogram Example

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

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

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

112.0243 = \arccos (\frac{2^{2} + 6^{2} - 7^{2}}{2 \cdot 2 \cdot 6})

112.0243° = \arccos (\frac{{2m}^{2} + {6m}^{2} - {7m}^{2}}{2 \cdot 2m \cdot 6m})

112.0243 = \arccos (\frac{2^{2} + 6^{2} - 7^{2}}{2 \cdot 2 \cdot 6})

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Angle Alpha of Antiparallelogram Solution

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

FIRST Step Consider the formula

∠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)})

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

∠α = 1.95519310129054rad

Next Step Convert to Output's Unit

∴

∠α = 112.024312837063°

LAST Step Rounding Answer

∴

∠α = 112.0243°

Angle Alpha of Antiparallelogram Formula Elements

Variables

Functions

Angle α of Antiparallelogram

Angle α of Antiparallelogram is the angle between two intersecting long sides of Antiparallelogram.

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle α 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

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 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

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 Beta of Antiparallelogram

∠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)})

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 Alpha of Antiparallelogram?

Angle Alpha of Antiparallelogram evaluator uses Angle α of Antiparallelogram = arccos((Short Section of Long Side of Antiparallelogram^2+Long Section of Long Side of Antiparallelogram^2-Short Side of Antiparallelogram^2)/(2*Short Section of Long Side of Antiparallelogram*Long Section of Long Side of Antiparallelogram)) to evaluate the Angle α of Antiparallelogram, The Angle Alpha of Antiparallelogram formula is defined as the angle between two intersecting long sides of Antiparallelogram. Angle α of Antiparallelogram is denoted by ∠α symbol.

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

FAQs on Angle Alpha of Antiparallelogram

What is the formula to find Angle Alpha of Antiparallelogram?

The formula of Angle Alpha of Antiparallelogram is expressed as Angle α of Antiparallelogram = arccos((Short Section of Long Side of Antiparallelogram^2+Long Section of Long Side of Antiparallelogram^2-Short Side of Antiparallelogram^2)/(2*Short Section of Long Side of Antiparallelogram*Long Section of Long Side of Antiparallelogram)). Here is an example- 6418.52 = arccos((2^2+6^2-7^2)/(2*2*6)).

How to calculate Angle Alpha of Antiparallelogram?

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

Can the Angle Alpha of Antiparallelogram be negative?

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

Which unit is used to measure Angle Alpha of Antiparallelogram?

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

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Angle Alpha of Antiparallelogram Formula

Angle Alpha of Antiparallelogram Example

Angle Alpha of Antiparallelogram Solution

Angle Alpha of Antiparallelogram Formula Elements

Other formulas in Angle of Antiparallelogram category

How to Evaluate Angle Alpha of Antiparallelogram?

FAQs on Angle Alpha of Antiparallelogram

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