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First Inner Side of Concave Quadrilateral Formula

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First Inner Side of Concave Quadrilateral is the first innermost side of the Concave Quadrilateral. Check FAQs

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

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

First Inner Side of Concave Quadrilateral Example

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Here is how the First Inner Side of Concave Quadrilateral equation looks like with Values.

Here is how the First Inner Side of Concave Quadrilateral equation looks like with Units.

Here is how the First Inner Side of Concave Quadrilateral equation looks like.

7.1318 = \sqrt{10^{2} + 8^{2} - (2 \cdot 10 \cdot 8 \cdot \cos (45))}

7.1318m = \sqrt{{10m}^{2} + {8m}^{2} - (2 \cdot 10m \cdot 8m \cdot \cos (45°))}

7.1318 = \sqrt{10^{2} + 8^{2} - (2 \cdot 10 \cdot 8 \cdot \cos (45))}

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First Inner Side of Concave Quadrilateral Solution

Follow our step by step solution on how to calculate First Inner Side of Concave Quadrilateral?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S First Inner = \sqrt{{10m}^{2} + {8m}^{2} - (2 \cdot 10m \cdot 8m \cdot \cos (45°))}

Next Step Convert Units

∴

S First Inner = \sqrt{{10m}^{2} + {8m}^{2} - (2 \cdot 10m \cdot 8m \cdot \cos (0.7854rad))}

Next Step Prepare to Evaluate

∴

S First Inner = \sqrt{10^{2} + 8^{2} - (2 \cdot 10 \cdot 8 \cdot \cos (0.7854))}

Next Step Evaluate

∴

S First Inner = 7.13182410117746m

LAST Step Rounding Answer

∴

S First Inner = 7.1318m

First Inner Side of Concave Quadrilateral Formula Elements

Variables

Functions

First Inner Side of Concave Quadrilateral

First Inner Side of Concave Quadrilateral is the first innermost side of the Concave Quadrilateral.

Symbol: S_{First Inner}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Inner Side 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

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

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 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 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 First Inner Side of Concave Quadrilateral?

First Inner Side of Concave Quadrilateral evaluator uses First Inner Side of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Outer Diagonal of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Outer Diagonal of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral))) to evaluate the First Inner Side of Concave Quadrilateral, First Inner side of Concave Quadrilateral formula is defined as the length of one of the inner sides of the Concave Quadrilateral. First Inner Side of Concave Quadrilateral is denoted by S_{First Inner} symbol.

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

FAQs on First Inner Side of Concave Quadrilateral

What is the formula to find First Inner Side of Concave Quadrilateral?

The formula of First Inner Side of Concave Quadrilateral is expressed as First Inner Side of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Outer Diagonal of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Outer Diagonal of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral))). Here is an example- 7.131824 = sqrt(10^2+8^2-(2*10*8*cos(0.785398163397301))).

How to calculate First Inner Side of Concave Quadrilateral?

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

Can the First Inner Side of Concave Quadrilateral be negative?

No, the First Inner Side of Concave Quadrilateral, measured in Length cannot be negative.

Which unit is used to measure First Inner Side of Concave Quadrilateral?

First Inner Side 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 First Inner Side of Concave Quadrilateral can be measured.

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First Inner Side of Concave Quadrilateral Formula

First Inner Side of Concave Quadrilateral Example

First Inner Side of Concave Quadrilateral Solution

First Inner Side of Concave Quadrilateral Formula Elements

Other formulas in Concave Quadrilateral category

How to Evaluate First Inner Side of Concave Quadrilateral?

FAQs on First Inner Side of Concave Quadrilateral

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