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Diagonal 2 of Quadrilateral Formula

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Diagonal 2 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral. Check FAQs

d 2 = \sqrt{{S b}^{2} + {S c}^{2} - (2 \cdot S b \cdot S c \cdot \cos (∠C))}

d₂ - Diagonal 2 of Quadrilateral?S_b - Side B of Quadrilateral?S_c - Side C of Quadrilateral?∠C - Angle C of Quadrilateral?

Diagonal 2 of Quadrilateral Example

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Here is how the Diagonal 2 of Quadrilateral equation looks like with Values.

Here is how the Diagonal 2 of Quadrilateral equation looks like with Units.

Here is how the Diagonal 2 of Quadrilateral equation looks like.

11.5087 = \sqrt{9^{2} + 8^{2} - (2 \cdot 9 \cdot 8 \cdot \cos (85))}

11.5087m = \sqrt{{9m}^{2} + {8m}^{2} - (2 \cdot 9m \cdot 8m \cdot \cos (85°))}

11.5087 = \sqrt{9^{2} + 8^{2} - (2 \cdot 9 \cdot 8 \cdot \cos (85))}

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Diagonal 2 of Quadrilateral Solution

Follow our step by step solution on how to calculate Diagonal 2 of Quadrilateral?

FIRST Step Consider the formula

d 2 = \sqrt{{S b}^{2} + {S c}^{2} - (2 \cdot S b \cdot S c \cdot \cos (∠C))}

Next Step Substitute values of Variables

∴

d 2 = \sqrt{{9m}^{2} + {8m}^{2} - (2 \cdot 9m \cdot 8m \cdot \cos (85°))}

Next Step Convert Units

∴

d 2 = \sqrt{{9m}^{2} + {8m}^{2} - (2 \cdot 9m \cdot 8m \cdot \cos (1.4835rad))}

Next Step Prepare to Evaluate

∴

d 2 = \sqrt{9^{2} + 8^{2} - (2 \cdot 9 \cdot 8 \cdot \cos (1.4835))}

Next Step Evaluate

∴

d 2 = 11.5086738177905m

LAST Step Rounding Answer

∴

d 2 = 11.5087m

Diagonal 2 of Quadrilateral Formula Elements

Variables

Functions

Diagonal 2 of Quadrilateral

Diagonal 2 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal 2 of Quadrilateral

Side B of Quadrilateral

Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Quadrilateral

Side C of Quadrilateral

Side C of Quadrilateral is the measure of the side C of the Quadrilateral.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Quadrilateral

Angle C of Quadrilateral

Angle C of Quadrilateral is the space between two intersecting lines (side b and side c) or surfaces at or close to the point where they meet.

Symbol: ∠C

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle C of 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)

Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Formula and 300+ more formulas!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Formula and 400+ more formulas!

Other formulas in Diagonals of Quadrilateral category

Go Diagonal 1 of Quadrilateral given Area and Heights of Columns

d 1 = 2 \cdot \frac{A}{h 1 + h 2}

Go Diagonal 1 of Quadrilateral

d 1 = \sqrt{{S a}^{2} + {S b}^{2} - (2 \cdot S a \cdot S b \cdot \cos (∠B))}

How to Evaluate Diagonal 2 of Quadrilateral?

Diagonal 2 of Quadrilateral evaluator uses Diagonal 2 of Quadrilateral = sqrt(Side B of Quadrilateral^2+Side C of Quadrilateral^2-(2*Side B of Quadrilateral*Side C of Quadrilateral*cos(Angle C of Quadrilateral))) to evaluate the Diagonal 2 of Quadrilateral, The Diagonal 2 of Quadrilateral formula is defined as the length of the straight line joining opposite vertices (angle B and angle D) of the Quadrilateral. Diagonal 2 of Quadrilateral is denoted by d₂ symbol.

How to evaluate Diagonal 2 of Quadrilateral using this online evaluator? To use this online evaluator for Diagonal 2 of Quadrilateral, enter Side B of Quadrilateral (S_b), Side C of Quadrilateral (S_c) & Angle C of Quadrilateral (∠C) and hit the calculate button.

FAQs on Diagonal 2 of Quadrilateral

What is the formula to find Diagonal 2 of Quadrilateral?

The formula of Diagonal 2 of Quadrilateral is expressed as Diagonal 2 of Quadrilateral = sqrt(Side B of Quadrilateral^2+Side C of Quadrilateral^2-(2*Side B of Quadrilateral*Side C of Quadrilateral*cos(Angle C of Quadrilateral))). Here is an example- 11.50867 = sqrt(9^2+8^2-(2*9*8*cos(1.4835298641949))).

How to calculate Diagonal 2 of Quadrilateral?

With Side B of Quadrilateral (S_b), Side C of Quadrilateral (S_c) & Angle C of Quadrilateral (∠C) we can find Diagonal 2 of Quadrilateral using the formula - Diagonal 2 of Quadrilateral = sqrt(Side B of Quadrilateral^2+Side C of Quadrilateral^2-(2*Side B of Quadrilateral*Side C of Quadrilateral*cos(Angle C of Quadrilateral))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

Can the Diagonal 2 of Quadrilateral be negative?

No, the Diagonal 2 of Quadrilateral, measured in Length cannot be negative.

Which unit is used to measure Diagonal 2 of Quadrilateral?

Diagonal 2 of Quadrilateral is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal 2 of Quadrilateral can be measured.

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Diagonal 2 of Quadrilateral Formula

Diagonal 2 of Quadrilateral Example

Diagonal 2 of Quadrilateral Solution

Diagonal 2 of Quadrilateral Formula Elements

Credits

Other formulas in Diagonals of Quadrilateral category

How to Evaluate Diagonal 2 of Quadrilateral?

FAQs on Diagonal 2 of Quadrilateral

Variable Name