Short 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%
✖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%

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

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Short Chord of Antiparallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Short Section of Long Side of Antiparallelogram^2)
l_c(Short) = sqrt(2*(1-cos(pi-∠α))*d'_{Short(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

Short Chord Length of Antiparallelogram - (Measured in Meter) - Short Chord Length of Antiparallelogram is length of shorter 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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle α of Antiparallelogram: 120 Degree --> 2.0943951023928 Radian (Check conversion here)
Short Section of Long Side of Antiparallelogram: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

l_c(Short) = 2.00000000000068

STEP 3: Convert Result to Output's Unit

2.00000000000068 Meter --> No Conversion Required

FINAL ANSWER

2.00000000000068 ≈ 2 Meter <-- Short Chord Length of Antiparallelogram

(Calculation completed in 00.004 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)

Short 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 Short Chord of Antiparallelogram?

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

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

FAQ

What is Short Chord of Antiparallelogram?

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

How to calculate Short Chord of Antiparallelogram?

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