Long Chord of Antiparallelogram Calculator

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

✖Long Chord Length of Antiparallelogram is length of longer line segment joining two points on a curve.ⓘ Long Chord of Antiparallelogram [l_c(Long)]

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Long Chord of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Long Section of Long Side of Antiparallelogram^2)
l_c(Long) = sqrt(2*(1-cos(pi-∠α))*d'_{Long(Long side)}^2)
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Long Chord Length of Antiparallelogram - (Measured in Meter) - Long Chord Length of Antiparallelogram is length of longer line segment joining two points on a curve.
Angle α of Antiparallelogram - (Measured in Radian) - Angle α of Antiparallelogram is the angle between two intersecting long sides 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

Angle α of Antiparallelogram: 120 Degree --> 2.0943951023928 Radian (Check conversion here)
Long Section of Long Side of Antiparallelogram: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c(Long) = sqrt(2*(1-cos(pi-∠α))*d'_{Long(Long side)}^2) --> sqrt(2*(1-cos(pi-2.0943951023928))*6^2)

Evaluating ... ...

l_c(Long) = 6.00000000000205

STEP 3: Convert Result to Output's Unit

6.00000000000205 Meter --> No Conversion Required

FINAL ANSWER

6.00000000000205 ≈ 6 Meter <-- Long Chord Length of Antiparallelogram

(Calculation completed in 00.022 seconds)

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< Chord of Antiparallelogram Calculators

Short Chord of Antiparallelogram

LaTeX Go Short Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Short Section of Long Side of Antiparallelogram^2)

Long Chord of Antiparallelogram

LaTeX Go Long Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Long Section of Long Side of Antiparallelogram^2)

Long Chord 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 Long Chord of Antiparallelogram?

Long Chord of Antiparallelogram calculator uses Long Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Long Section of Long Side of Antiparallelogram^2) to calculate the Long Chord Length of Antiparallelogram, Long Chord of Antiparallelogram formula is defined as length of longer chord of an Antiparallelogram. Long Chord Length of Antiparallelogram is denoted by l_c(Long) symbol.

How to calculate Long Chord of Antiparallelogram using this online calculator? To use this online calculator for Long Chord of Antiparallelogram, enter Angle α of Antiparallelogram (∠α) & Long Section of Long Side of Antiparallelogram (d'_{Long(Long side)}) and hit the calculate button. Here is how the Long Chord of Antiparallelogram calculation can be explained with given input values -> 6 = sqrt(2*(1-cos(pi-2.0943951023928))*6^2).

FAQ

What is Long Chord of Antiparallelogram?

Long Chord of Antiparallelogram formula is defined as length of longer chord of an Antiparallelogram and is represented as l_c(Long) = sqrt(2*(1-cos(pi-∠α))*d'_{Long(Long side)}^2) or Long Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Long Section of Long Side of Antiparallelogram^2). Angle α of Antiparallelogram is the angle between two intersecting long sides of Antiparallelogram & Long Section of Long Side of Antiparallelogram is the length of longer section of the long side of Antiparallelogram.

How to calculate Long Chord of Antiparallelogram?

Long Chord of Antiparallelogram formula is defined as length of longer chord of an Antiparallelogram is calculated using Long Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Long Section of Long Side of Antiparallelogram^2). To calculate Long Chord of Antiparallelogram, you need Angle α of Antiparallelogram (∠α) & Long Section of Long Side of Antiparallelogram (d'_{Long(Long side)}). With our tool, you need to enter the respective value for Angle α 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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