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Reflex Angle of Concave Quadrilateral Formula

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The Reflex Angle of Concave Quadrilateral is the angle formed between both the inner sides of the figure which measures more than 180 degree and less than 360 degree. Check FAQs

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

∠_Reflex - Reflex Angle of Concave Quadrilateral?∠_{First Acute} - First Acute Angle of Concave Quadrilateral?∠_{Third Acute} - Third Acute Angle of Concave Quadrilateral?∠_{Second Acute} - Second Acute Angle of Concave Quadrilateral?π - Archimedes' constant?

Reflex Angle of Concave Quadrilateral Example

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Here is how the Reflex Angle of Concave Quadrilateral equation looks like with Values.

Here is how the Reflex Angle of Concave Quadrilateral equation looks like with Units.

Here is how the Reflex Angle of Concave Quadrilateral equation looks like.

243 = (2 \cdot 3.1416) - (17 + 55 + 45)

243° = (2 \cdot 3.1416) - (17° + 55° + 45°)

243 = (2 \cdot 3.1416) - (17 + 55 + 45)

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Reflex Angle of Concave Quadrilateral Solution

Follow our step by step solution on how to calculate Reflex Angle of Concave Quadrilateral?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Reflex = (2 \cdot π) - (17° + 55° + 45°)

Next Step Substitute values of Constants

∴

∠ Reflex = (2 \cdot 3.1416) - (17° + 55° + 45°)

Next Step Convert Units

∴

∠ Reflex = (2 \cdot 3.1416) - (0.2967rad + 0.9599rad + 0.7854rad)

Next Step Prepare to Evaluate

∴

∠ Reflex = (2 \cdot 3.1416) - (0.2967 + 0.9599 + 0.7854)

Next Step Evaluate

∴

∠ Reflex = 4.2411500823466rad

Next Step Convert to Output's Unit

∴

∠ Reflex = 243.000000000068°

LAST Step Rounding Answer

∴

∠ Reflex = 243°

Reflex Angle of Concave Quadrilateral Formula Elements

Variables

Constants

Reflex Angle of Concave Quadrilateral

The Reflex Angle of Concave Quadrilateral is the angle formed between both the inner sides of the figure which measures more than 180 degree and less than 360 degree.

Symbol: ∠_Reflex

Measurement: AngleUnit: °

Note: Value should be between 180 to 360.

Formulas to find Reflex Angle of Concave Quadrilateral

First Acute Angle of Concave Quadrilateral

The First Acute Angle of Concave Quadrilateral is the angle formed between the first outer and first inner side of the Concave Quadrilateral.

Symbol: ∠_{First Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find First Acute Angle of Concave Quadrilateral

Third Acute Angle of Concave Quadrilateral

Third Acute Angle of Concave Quadrilateral is the angle formed between both the outer sides of the Concave Quadrilateral.

Symbol: ∠_{Third Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Third Acute Angle 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

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

Other formulas in Concave Quadrilateral category

Go Outer Diagonal of Concave Quadrilateral

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

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})

How to Evaluate Reflex Angle of Concave Quadrilateral?

Reflex Angle of Concave Quadrilateral evaluator uses Reflex Angle of Concave Quadrilateral = (2*pi)-(First Acute Angle of Concave Quadrilateral+Third Acute Angle of Concave Quadrilateral+Second Acute Angle of Concave Quadrilateral) to evaluate the Reflex Angle of Concave Quadrilateral, The Reflex angle of Concave Quadrilateral formula is defined as the angle which is formed by the intersection of both the inner sides of the Concave Quadrilateral. Reflex Angle of Concave Quadrilateral is denoted by ∠_Reflex symbol.

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

FAQs on Reflex Angle of Concave Quadrilateral

What is the formula to find Reflex Angle of Concave Quadrilateral?

The formula of Reflex Angle of Concave Quadrilateral is expressed as Reflex Angle of Concave Quadrilateral = (2*pi)-(First Acute Angle of Concave Quadrilateral+Third Acute Angle of Concave Quadrilateral+Second Acute Angle of Concave Quadrilateral). Here is an example- 13922.87 = (2*pi)-(0.29670597283898+0.959931088596701+0.785398163397301).

How to calculate Reflex Angle of Concave Quadrilateral?

With First Acute Angle of Concave Quadrilateral (∠_{First Acute}), Third Acute Angle of Concave Quadrilateral (∠_{Third Acute}) & Second Acute Angle of Concave Quadrilateral (∠_{Second Acute}) we can find Reflex Angle of Concave Quadrilateral using the formula - Reflex Angle of Concave Quadrilateral = (2*pi)-(First Acute Angle of Concave Quadrilateral+Third Acute Angle of Concave Quadrilateral+Second Acute Angle of Concave Quadrilateral). This formula also uses Archimedes' constant .

Can the Reflex Angle of Concave Quadrilateral be negative?

No, the Reflex Angle of Concave Quadrilateral, measured in Angle cannot be negative.

Which unit is used to measure Reflex Angle of Concave Quadrilateral?

Reflex Angle of Concave Quadrilateral is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Reflex Angle of Concave Quadrilateral can be measured.

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Reflex Angle of Concave Quadrilateral Formula

Reflex Angle of Concave Quadrilateral Example

Reflex Angle of Concave Quadrilateral Solution

Reflex Angle of Concave Quadrilateral Formula Elements

Other formulas in Concave Quadrilateral category

How to Evaluate Reflex Angle of Concave Quadrilateral?

FAQs on Reflex Angle of Concave Quadrilateral

Variable Name