Angle Gamma of Antiparallelogram Calculator

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Angle of Antiparallelogram

Chord of Antiparallelogram

Side of Antiparallelogram

✖Short Side of Antiparallelogram is the measurement of the length of the shortest side of Antiparallelogram.ⓘ Short Side of Antiparallelogram [S_Short]			+10% -10%
✖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%

✖Angle γ of Antiparallelogram is the angle between a long side and a short side of Antiparallelogram.ⓘ Angle Gamma of Antiparallelogram [∠γ]

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Formula

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Angle Gamma of Antiparallelogram

Formula

`"∠γ" = arccos(("S"_{"Short"}^2+"d'"_{"Short(Long side)"}^2-"d'"_{"Long(Long side)"}^2)/(2*"S"_{"Short"}*"d'"_{"Short(Long side)"}))`

Example

`"52.6168°"=arccos((("7m")^2+("2m")^2-("6m")^2)/(2*"7m"*"2m"))`

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Angle Gamma of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
∠γ = arccos((S_Short^2+d'_{Short(Long side)}^2-d'_{Long(Long side)}^2)/(2*S_Short*d'_{Short(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 γ of Antiparallelogram - (Measured in Radian) - Angle γ of Antiparallelogram is the angle between a long side and a short 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.
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.

STEP 1: Convert Input(s) to Base Unit

Short Side of Antiparallelogram: 7 Meter --> 7 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

∠γ = 0.918336429476819

STEP 3: Convert Result to Output's Unit

0.918336429476819 Radian -->52.616801582145 Degree (Check conversion here)

FINAL ANSWER

52.616801582145 ≈ 52.6168 Degree <-- Angle γ of Antiparallelogram

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 4 Angle of Antiparallelogram Calculators

Angle Alpha of Antiparallelogram

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

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

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

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

Angle Gamma of Antiparallelogram Formula

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 Gamma of Antiparallelogram?

Angle Gamma of Antiparallelogram calculator uses 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)) to calculate the Angle γ of Antiparallelogram, The Angle Gamma of Antiparallelogram formula is defined as the angle between a long side and a short side of Antiparallelogram. Angle γ of Antiparallelogram is denoted by ∠γ symbol.

How to calculate Angle Gamma of Antiparallelogram using this online calculator? To use this online calculator for Angle Gamma of Antiparallelogram, enter Short Side of Antiparallelogram (S_Short), Short Section of Long Side of Antiparallelogram (d'_{Short(Long side)}) & Long Section of Long Side of Antiparallelogram (d'_{Long(Long side)}) and hit the calculate button. Here is how the Angle Gamma of Antiparallelogram calculation can be explained with given input values -> 3014.721 = arccos((7^2+2^2-6^2)/(2*7*2)).

FAQ

What is Angle Gamma of Antiparallelogram?

The Angle Gamma of Antiparallelogram formula is defined as the angle between a long side and a short side of Antiparallelogram and is represented as ∠γ = arccos((S_Short^2+d'_{Short(Long side)}^2-d'_{Long(Long side)}^2)/(2*S_Short*d'_{Short(Long side)})) or 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)). Short Side of Antiparallelogram is the measurement of the length of the shortest 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.

How to calculate Angle Gamma of Antiparallelogram?

The Angle Gamma of Antiparallelogram formula is defined as the angle between a long side and a short side of Antiparallelogram is calculated using 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)). To calculate Angle Gamma of Antiparallelogram, you need Short Side of Antiparallelogram (S_Short), Short Section of Long Side of Antiparallelogram (d'_{Short(Long side)}) & Long Section of Long Side of Antiparallelogram (d'_{Long(Long side)}). With our tool, you need to enter the respective value for Short Side of Antiparallelogram, Short Section of Long Side of Antiparallelogram & Long Section of Long 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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