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Short Chord of Antiparallelogram Formula

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Short Chord Length of Antiparallelogram is length of shorter line segment joining two points on a curve. Check FAQs

l c(Short) = \sqrt{2 \cdot (1 - \cos (π - ∠α)) \cdot {d' Short(Long side)}^{2}}

l_c(Short) - Short Chord Length of Antiparallelogram?∠α - Angle α of Antiparallelogram?d'_{Short(Long side)} - Short Section of Long Side of Antiparallelogram?π - Archimedes' constant?

Short Chord of Antiparallelogram Example

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Here is how the Short Chord of Antiparallelogram equation looks like with Values.

Here is how the Short Chord of Antiparallelogram equation looks like with Units.

Here is how the Short Chord of Antiparallelogram equation looks like.

2 = \sqrt{2 \cdot (1 - \cos (3.1416 - 120)) \cdot 2^{2}}

2m = \sqrt{2 \cdot (1 - \cos (3.1416 - 120°)) \cdot {2m}^{2}}

2 = \sqrt{2 \cdot (1 - \cos (3.1416 - 120)) \cdot 2^{2}}

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Short Chord of Antiparallelogram Solution

Follow our step by step solution on how to calculate Short Chord of Antiparallelogram?

FIRST Step Consider the formula

l c(Short) = \sqrt{2 \cdot (1 - \cos (π - ∠α)) \cdot {d' Short(Long side)}^{2}}

Next Step Substitute values of Variables

∴

l c(Short) = \sqrt{2 \cdot (1 - \cos (π - 120°)) \cdot {2m}^{2}}

Next Step Substitute values of Constants

∴

l c(Short) = \sqrt{2 \cdot (1 - \cos (3.1416 - 120°)) \cdot {2m}^{2}}

Next Step Convert Units

∴

l c(Short) = \sqrt{2 \cdot (1 - \cos (3.1416 - 2.0944rad)) \cdot {2m}^{2}}

Next Step Prepare to Evaluate

∴

l c(Short) = \sqrt{2 \cdot (1 - \cos (3.1416 - 2.0944)) \cdot 2^{2}}

Next Step Evaluate

∴

l c(Short) = 2.00000000000068m

LAST Step Rounding Answer

∴

l c(Short) = 2m

Short Chord of Antiparallelogram Formula Elements

Variables

Constants

Functions

Short Chord Length of Antiparallelogram

Short Chord Length of Antiparallelogram is length of shorter line segment joining two points on a curve.

Symbol: l_c(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Chord Length of Antiparallelogram

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: sqrt(Number)

Other formulas in Chord of Antiparallelogram category

Go Long Chord of Antiparallelogram

l c(Long) = \sqrt{2 \cdot (1 - \cos (π - ∠α)) \cdot {d' Long(Long side)}^{2}}

How to Evaluate Short Chord of Antiparallelogram?

Short Chord of Antiparallelogram evaluator uses Short Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Short Section of Long Side of Antiparallelogram^2) to evaluate 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 evaluate Short Chord of Antiparallelogram using this online evaluator? To use this online evaluator 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.

FAQs on Short Chord of Antiparallelogram

What is the formula to find Short Chord of Antiparallelogram?

The formula of Short Chord of Antiparallelogram is expressed as Short Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Short Section of Long Side of Antiparallelogram^2). Here is an example- 2 = sqrt(2*(1-cos(pi-2.0943951023928))*2^2).

How to calculate Short Chord of Antiparallelogram?

With Angle α of Antiparallelogram (∠α) & Short Section of Long Side of Antiparallelogram (d'_{Short(Long side)}) we can find Short Chord of Antiparallelogram using the formula - Short Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Short Section of Long Side of Antiparallelogram^2). This formula also uses Archimedes' constant and , Cosine (cos), Square Root (sqrt) function(s).

Can the Short Chord of Antiparallelogram be negative?

No, the Short Chord of Antiparallelogram, measured in Length cannot be negative.

Which unit is used to measure Short Chord of Antiparallelogram?

Short Chord of Antiparallelogram is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Short Chord of Antiparallelogram can be measured.

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