Angle Alpha of Antiparallelogram Calculator

✖Short Section of Long Side of Antiparallelogram is the length of shorter section of the long side of Antiparallelogram.ⓘ Short Section of Long Side of Antiparallelogram [d'_{Short(Long side)}]			+10% -10%
✖Long Section of Long Side of Antiparallelogram is the length of longer section of the long side of Antiparallelogram.ⓘ Long Section of Long Side of Antiparallelogram [d'_{Long(Long side)}]			+10% -10%
✖Short Side of Antiparallelogram is the measurement of the length of the shortest side of Antiparallelogram.ⓘ Short Side of Antiparallelogram [S_Short]			+10% -10%

✖Angle α of Antiparallelogram is the angle between two intersecting long sides of Antiparallelogram.ⓘ Angle Alpha of Antiparallelogram [∠α]

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Angle Alpha of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
∠α = arccos((d'_{Short(Long side)}^2+d'_{Long(Long side)}^2-S_Short^2)/(2*d'_{Short(Long side)}*d'_{Long(Long side)}))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., arccos(Number)

Variables Used

Angle α of Antiparallelogram - (Measured in Radian) - Angle α of Antiparallelogram is the angle between two intersecting long sides of Antiparallelogram.
Short Section of Long Side of Antiparallelogram - (Measured in Meter) - Short Section of Long Side of Antiparallelogram is the length of shorter section of the long side of Antiparallelogram.
Long Section of Long Side of Antiparallelogram - (Measured in Meter) - Long Section of Long Side of Antiparallelogram is the length of longer section of the long side of Antiparallelogram.
Short Side of Antiparallelogram - (Measured in Meter) - Short Side of Antiparallelogram is the measurement of the length of the shortest side of Antiparallelogram.

STEP 1: Convert Input(s) to Base Unit

Short Section of Long Side of Antiparallelogram: 2 Meter --> 2 Meter No Conversion Required
Long Section of Long Side of Antiparallelogram: 6 Meter --> 6 Meter No Conversion Required
Short Side of Antiparallelogram: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠α = arccos((d'_{Short(Long side)}^2+d'_{Long(Long side)}^2-S_Short^2)/(2*d'_{Short(Long side)}*d'_{Long(Long side)})) --> arccos((2^2+6^2-7^2)/(2*2*6))

Evaluating ... ...

∠α = 1.95519310129054

STEP 3: Convert Result to Output's Unit

1.95519310129054 Radian -->112.024312837063 Degree (Check conversion here)

FINAL ANSWER

112.024312837063 ≈ 112.0243 Degree <-- Angle α of Antiparallelogram

(Calculation completed in 00.004 seconds)

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< Angle of Antiparallelogram Calculators

Angle Alpha of Antiparallelogram

LaTeX Go 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))

Angle Gamma of Antiparallelogram

LaTeX Go Angle γ of Antiparallelogram = arccos((Short Side of Antiparallelogram^2+Short Section of Long Side of Antiparallelogram^2-Long Section of Long Side of Antiparallelogram^2)/(2*Short Side of Antiparallelogram*Short Section of Long Side of Antiparallelogram))

Angle Beta of Antiparallelogram

LaTeX Go 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))

Outer Angle Delta of Antiparallelogram

LaTeX Go Angle δ of Antiparallelogram = pi-Angle α of Antiparallelogram

Angle Alpha of Antiparallelogram Formula

LaTeX Go

What is an Antiparallelogram?

In geometry, an Antiparallelogram is a type of self-crossing quadrilateral. Like a parallelogram, an Antiparallelogram has two opposite pairs of equal-length sides, but the sides in the longer pair cross each other as in a scissors mechanism. Antiparallelograms are also called contraparallelograms or crossed parallelograms. An Antiparallelogram is a special case of a crossed quadrilateral, which has generally unequal edges.

How to Calculate Angle Alpha of Antiparallelogram?

Angle Alpha of Antiparallelogram calculator 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 calculate 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 calculate Angle Alpha of Antiparallelogram using this online calculator? To use this online calculator 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. Here is how the Angle Alpha of Antiparallelogram calculation can be explained with given input values -> 6418.52 = arccos((2^2+6^2-7^2)/(2*2*6)).

FAQ

What is Angle Alpha of Antiparallelogram?

The Angle Alpha of Antiparallelogram formula is defined as the angle between two intersecting long sides of Antiparallelogram and is represented as ∠α = arccos((d'_{Short(Long side)}^2+d'_{Long(Long side)}^2-S_Short^2)/(2*d'_{Short(Long side)}*d'_{Long(Long side)})) or 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)). Short Section of Long Side of Antiparallelogram is the length of shorter section of the long side of Antiparallelogram, Long Section of Long Side of Antiparallelogram is the length of longer section of the long side of Antiparallelogram & Short Side of Antiparallelogram is the measurement of the length of the shortest side of Antiparallelogram.

How to calculate Angle Alpha of Antiparallelogram?

The Angle Alpha of Antiparallelogram formula is defined as the angle between two intersecting long sides of Antiparallelogram is calculated using 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 calculate Angle Alpha of Antiparallelogram, you need 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). With our tool, you need to enter the respective value for Short Section of Long Side of Antiparallelogram, Long Section of Long Side of Antiparallelogram & Short Side of Antiparallelogram and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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