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Long Chord of Antiparallelogram Formula

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

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

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

Long Chord of Antiparallelogram Example

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

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

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

6 = \sqrt{2 \cdot (1 - \cos (3.1416 - 120)) \cdot 6^{2}}

6m = \sqrt{2 \cdot (1 - \cos (3.1416 - 120°)) \cdot {6m}^{2}}

6 = \sqrt{2 \cdot (1 - \cos (3.1416 - 120)) \cdot 6^{2}}

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Long Chord of Antiparallelogram Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c(Long) = \sqrt{2 \cdot (1 - \cos (π - 120°)) \cdot {6m}^{2}}

Next Step Substitute values of Constants

∴

l c(Long) = \sqrt{2 \cdot (1 - \cos (3.1416 - 120°)) \cdot {6m}^{2}}

Next Step Convert Units

∴

l c(Long) = \sqrt{2 \cdot (1 - \cos (3.1416 - 2.0944rad)) \cdot {6m}^{2}}

Next Step Prepare to Evaluate

∴

l c(Long) = \sqrt{2 \cdot (1 - \cos (3.1416 - 2.0944)) \cdot 6^{2}}

Next Step Evaluate

∴

l c(Long) = 6.00000000000205m

LAST Step Rounding Answer

∴

l c(Long) = 6m

Long Chord of Antiparallelogram Formula Elements

Variables

Constants

Functions

Long Chord Length of Antiparallelogram

Long Chord Length of Antiparallelogram is length of longer line segment joining two points on a curve.

Symbol: l_c(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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

Long Section of Long Side of Antiparallelogram

Long Section of Long Side of Antiparallelogram is the length of longer section of the long side of Antiparallelogram.

Symbol: d'_{Long(Long side)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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 Short Chord of Antiparallelogram

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

How to Evaluate Long Chord of Antiparallelogram?

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

FAQs on Long Chord of Antiparallelogram

What is the formula to find Long Chord of Antiparallelogram?

The formula of Long Chord of Antiparallelogram is expressed as Long Chord Length of Antiparallelogram = sqrt(2*(1-cos(pi-Angle α of Antiparallelogram))*Long Section of Long Side of Antiparallelogram^2). Here is an example- 6 = sqrt(2*(1-cos(pi-2.0943951023928))*6^2).

How to calculate Long Chord of Antiparallelogram?

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

Can the Long Chord of Antiparallelogram be negative?

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

Which unit is used to measure Long Chord of Antiparallelogram?

Long 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 Long Chord of Antiparallelogram can be measured.

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