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Area of Quadrilateral given Diagonals and Sides Formula

GoArea of Quadrilateral Formula

GoArea of Quadrilateral given Diagonals and Angle between Diagonals Formula

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Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral. Check FAQs

A = \frac{\sqrt{(4 \cdot {d 1}^{2} \cdot {d 2}^{2}) - {({S a}^{2} + {S c}^{2} - {S b}^{2} - {S d}^{2})}^{2}}}{4}

A - Area of Quadrilateral?d₁ - Diagonal 1 of Quadrilateral?d₂ - Diagonal 2 of Quadrilateral?S_a - Side A of Quadrilateral?S_c - Side C of Quadrilateral?S_b - Side B of Quadrilateral?S_d - Side D of Quadrilateral?

Area of Quadrilateral given Diagonals and Sides Example

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Here is how the Area of Quadrilateral given Diagonals and Sides equation looks like with Units.

Here is how the Area of Quadrilateral given Diagonals and Sides equation looks like.

64.3875 = \frac{\sqrt{(4 \cdot 11^{2} \cdot 12^{2}) - {(10^{2} + 8^{2} - 9^{2} - 5^{2})}^{2}}}{4}

64.3875m² = \frac{\sqrt{(4 \cdot {11m}^{2} \cdot {12m}^{2}) - {({10m}^{2} + {8m}^{2} - {9m}^{2} - {5m}^{2})}^{2}}}{4}

64.3875 = \frac{\sqrt{(4 \cdot 11^{2} \cdot 12^{2}) - {(10^{2} + 8^{2} - 9^{2} - 5^{2})}^{2}}}{4}

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Area of Quadrilateral given Diagonals and Sides Solution

Follow our step by step solution on how to calculate Area of Quadrilateral given Diagonals and Sides?

FIRST Step Consider the formula

A = \frac{\sqrt{(4 \cdot {d 1}^{2} \cdot {d 2}^{2}) - {({S a}^{2} + {S c}^{2} - {S b}^{2} - {S d}^{2})}^{2}}}{4}

Next Step Substitute values of Variables

∴

A = \frac{\sqrt{(4 \cdot {11m}^{2} \cdot {12m}^{2}) - {({10m}^{2} + {8m}^{2} - {9m}^{2} - {5m}^{2})}^{2}}}{4}

Next Step Prepare to Evaluate

∴

A = \frac{\sqrt{(4 \cdot 11^{2} \cdot 12^{2}) - {(10^{2} + 8^{2} - 9^{2} - 5^{2})}^{2}}}{4}

Next Step Evaluate

∴

A = 64.3874987866434m²

LAST Step Rounding Answer

∴

A = 64.3875m²

Area of Quadrilateral given Diagonals and Sides Formula Elements

Variables

Functions

Area of Quadrilateral

Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Quadrilateral

Diagonal 1 of Quadrilateral

A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal 1 of Quadrilateral

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 A of Quadrilateral

Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A 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

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 D of Quadrilateral

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

Symbol: S_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side D of Quadrilateral

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 to find Area of Quadrilateral

Go Area of Quadrilateral

A = \frac{1}{2} \cdot d 1 \cdot l ⊥(Sum)

Go Area of Quadrilateral given Diagonals and Angle between Diagonals

A = \frac{d 1 \cdot d 2}{2} \cdot \sin (∠ Diagonals)

How to Evaluate Area of Quadrilateral given Diagonals and Sides?

Area of Quadrilateral given Diagonals and Sides evaluator uses Area of Quadrilateral = sqrt((4*Diagonal 1 of Quadrilateral^2*Diagonal 2 of Quadrilateral^2)-(Side A of Quadrilateral^2+Side C of Quadrilateral^2-Side B of Quadrilateral^2-Side D of Quadrilateral^2)^2)/4 to evaluate the Area of Quadrilateral, The Area of Quadrilateral given Diagonals and Sides formula is defined as the total region or the 2-dimensional space occupied by the surface of the Quadrilateral and calculated using the diagonal and sides of the Quadrilateral. Area of Quadrilateral is denoted by A symbol.

How to evaluate Area of Quadrilateral given Diagonals and Sides using this online evaluator? To use this online evaluator for Area of Quadrilateral given Diagonals and Sides, enter Diagonal 1 of Quadrilateral (d₁), Diagonal 2 of Quadrilateral (d₂), Side A of Quadrilateral (S_a), Side C of Quadrilateral (S_c), Side B of Quadrilateral (S_b) & Side D of Quadrilateral (S_d) and hit the calculate button.

FAQs on Area of Quadrilateral given Diagonals and Sides

What is the formula to find Area of Quadrilateral given Diagonals and Sides?

The formula of Area of Quadrilateral given Diagonals and Sides is expressed as Area of Quadrilateral = sqrt((4*Diagonal 1 of Quadrilateral^2*Diagonal 2 of Quadrilateral^2)-(Side A of Quadrilateral^2+Side C of Quadrilateral^2-Side B of Quadrilateral^2-Side D of Quadrilateral^2)^2)/4. Here is an example- 64.3875 = sqrt((4*11^2*12^2)-(10^2+8^2-9^2-5^2)^2)/4.

How to calculate Area of Quadrilateral given Diagonals and Sides?

With Diagonal 1 of Quadrilateral (d₁), Diagonal 2 of Quadrilateral (d₂), Side A of Quadrilateral (S_a), Side C of Quadrilateral (S_c), Side B of Quadrilateral (S_b) & Side D of Quadrilateral (S_d) we can find Area of Quadrilateral given Diagonals and Sides using the formula - Area of Quadrilateral = sqrt((4*Diagonal 1 of Quadrilateral^2*Diagonal 2 of Quadrilateral^2)-(Side A of Quadrilateral^2+Side C of Quadrilateral^2-Side B of Quadrilateral^2-Side D of Quadrilateral^2)^2)/4. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Quadrilateral?

Here are the different ways to Calculate Area of Quadrilateral-

Area of Quadrilateral=1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral
Area of Quadrilateral=(Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)
Area of Quadrilateral=((Side A of Quadrilateral*Side D of Quadrilateral*sin(Angle A of Quadrilateral))+(Side B of Quadrilateral*Side C of Quadrilateral*sin(Angle C of Quadrilateral)))/2

Can the Area of Quadrilateral given Diagonals and Sides be negative?

No, the Area of Quadrilateral given Diagonals and Sides, measured in Area cannot be negative.

Which unit is used to measure Area of Quadrilateral given Diagonals and Sides?

Area of Quadrilateral given Diagonals and Sides is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Quadrilateral given Diagonals and Sides can be measured.

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Area of Quadrilateral given Diagonals and Sides Formula

​GoArea of Quadrilateral Formula

​GoArea of Quadrilateral given Diagonals and Angle between Diagonals Formula

Area of Quadrilateral given Diagonals and Sides Example

Area of Quadrilateral given Diagonals and Sides Solution

Area of Quadrilateral given Diagonals and Sides Formula Elements

Other Formulas to find Area of Quadrilateral

How to Evaluate Area of Quadrilateral given Diagonals and Sides?

FAQs on Area of Quadrilateral given Diagonals and Sides

Variable Name

GoArea of Quadrilateral Formula

GoArea of Quadrilateral given Diagonals and Angle between Diagonals Formula