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Outer Diagonal of Concave Quadrilateral Formula

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Outer Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies outside the region of the Concave Quadrilateral. Check FAQs

d Outer = \sqrt{{S First Outer}^{2} + {S Second Outer}^{2} - (2 \cdot S First Outer \cdot S Second Outer \cdot \cos (∠ Second Acute))}

d_Outer - Outer Diagonal of Concave Quadrilateral?S_{First Outer} - First Outer Side of Concave Quadrilateral?S_{Second Outer} - Second Outer Side of Concave Quadrilateral?∠_{Second Acute} - Second Acute Angle of Concave Quadrilateral?

Outer Diagonal of Concave Quadrilateral Example

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Here is how the Outer Diagonal of Concave Quadrilateral equation looks like with Values.

Here is how the Outer Diagonal of Concave Quadrilateral equation looks like with Units.

Here is how the Outer Diagonal of Concave Quadrilateral equation looks like.

7.3681 = \sqrt{10^{2} + 5^{2} - (2 \cdot 10 \cdot 5 \cdot \cos (45))}

7.3681m = \sqrt{{10m}^{2} + {5m}^{2} - (2 \cdot 10m \cdot 5m \cdot \cos (45°))}

7.3681 = \sqrt{10^{2} + 5^{2} - (2 \cdot 10 \cdot 5 \cdot \cos (45))}

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Outer Diagonal of Concave Quadrilateral Solution

Follow our step by step solution on how to calculate Outer Diagonal of Concave Quadrilateral?

FIRST Step Consider the formula

d Outer = \sqrt{{S First Outer}^{2} + {S Second Outer}^{2} - (2 \cdot S First Outer \cdot S Second Outer \cdot \cos (∠ Second Acute))}

Next Step Substitute values of Variables

∴

d Outer = \sqrt{{10m}^{2} + {5m}^{2} - (2 \cdot 10m \cdot 5m \cdot \cos (45°))}

Next Step Convert Units

∴

d Outer = \sqrt{{10m}^{2} + {5m}^{2} - (2 \cdot 10m \cdot 5m \cdot \cos (0.7854rad))}

Next Step Prepare to Evaluate

∴

d Outer = \sqrt{10^{2} + 5^{2} - (2 \cdot 10 \cdot 5 \cdot \cos (0.7854))}

Next Step Evaluate

∴

d Outer = 7.3681287910388m

LAST Step Rounding Answer

∴

d Outer = 7.3681m

Outer Diagonal of Concave Quadrilateral Formula Elements

Variables

Functions

Outer Diagonal of Concave Quadrilateral

Outer Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies outside the region of the Concave Quadrilateral.

Symbol: d_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Diagonal of Concave Quadrilateral

First Outer Side of Concave Quadrilateral

First Outer Side of Concave Quadrilateral is the first outermost side of the Concave Quadrilateral.

Symbol: S_{First Outer}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Outer Side of Concave Quadrilateral

Second Outer Side of Concave Quadrilateral

Second Outer Side of Concave Quadrilateral is the second outermost side of the Concave Quadrilateral.

Symbol: S_{Second Outer}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second Outer Side of Concave Quadrilateral

Second Acute Angle of Concave Quadrilateral

Second Acute Angle of Concave Quadrilateral is the angle formed between second outer and second inner side of the Concave Quadrilateral.

Symbol: ∠_{Second Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Second Acute Angle of Concave Quadrilateral

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 Concave Quadrilateral category

Go Inner Diagonal of Concave Quadrilateral

d Inner = \sqrt{{S Second Outer}^{2} + {S Second Inner}^{2} - (2 \cdot S Second Outer \cdot S Second Inner \cdot \cos (∠ Third Acute))}

Go First Inner Side of Concave Quadrilateral

S First Inner = \sqrt{{S First Outer}^{2} + {d Outer}^{2} - (2 \cdot S First Outer \cdot d Outer \cdot \cos (∠ Second Acute))}

Go First Acute Angle of Concave Quadrilateral

∠ First Acute = \arccos (\frac{{S First Outer}^{2} + {S First Inner}^{2} - {d Inner}^{2}}{2 \cdot S First Outer \cdot S First Inner})

Go Reflex Angle of Concave Quadrilateral

∠ Reflex = (2 \cdot π) - (∠ First Acute + ∠ Third Acute + ∠ Second Acute)

How to Evaluate Outer Diagonal of Concave Quadrilateral?

Outer Diagonal of Concave Quadrilateral evaluator uses Outer Diagonal of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Second Outer Side of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Second Outer Side of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral))) to evaluate the Outer Diagonal of Concave Quadrilateral, The Outer Diagonal of Concave Quadrilateral formula is defined as the length of the diagonal formed outside the Concave Quadrilateral. Outer Diagonal of Concave Quadrilateral is denoted by d_Outer symbol.

How to evaluate Outer Diagonal of Concave Quadrilateral using this online evaluator? To use this online evaluator for Outer Diagonal of Concave Quadrilateral, enter First Outer Side of Concave Quadrilateral (S_{First Outer}), Second Outer Side of Concave Quadrilateral (S_{Second Outer}) & Second Acute Angle of Concave Quadrilateral (∠_{Second Acute}) and hit the calculate button.

FAQs on Outer Diagonal of Concave Quadrilateral

What is the formula to find Outer Diagonal of Concave Quadrilateral?

The formula of Outer Diagonal of Concave Quadrilateral is expressed as Outer Diagonal of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Second Outer Side of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Second Outer Side of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral))). Here is an example- 7.368129 = sqrt(10^2+5^2-(2*10*5*cos(0.785398163397301))).

How to calculate Outer Diagonal of Concave Quadrilateral?

With First Outer Side of Concave Quadrilateral (S_{First Outer}), Second Outer Side of Concave Quadrilateral (S_{Second Outer}) & Second Acute Angle of Concave Quadrilateral (∠_{Second Acute}) we can find Outer Diagonal of Concave Quadrilateral using the formula - Outer Diagonal of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Second Outer Side of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Second Outer Side of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

Can the Outer Diagonal of Concave Quadrilateral be negative?

No, the Outer Diagonal of Concave Quadrilateral, measured in Length cannot be negative.

Which unit is used to measure Outer Diagonal of Concave Quadrilateral?

Outer Diagonal of Concave Quadrilateral is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Outer Diagonal of Concave Quadrilateral can be measured.

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Outer Diagonal of Concave Quadrilateral Formula

Outer Diagonal of Concave Quadrilateral Example

Outer Diagonal of Concave Quadrilateral Solution

Outer Diagonal of Concave Quadrilateral Formula Elements

Other formulas in Concave Quadrilateral category

How to Evaluate Outer Diagonal of Concave Quadrilateral?

FAQs on Outer Diagonal of Concave Quadrilateral

Variable Name