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Area of Quadrilateral given Angles and Sides Formula

GoArea of Quadrilateral Formula

GoArea of Quadrilateral given Diagonals and Sides Formula

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

A = \frac{(S a \cdot S d \cdot \sin (∠A)) + (S b \cdot S c \cdot \sin (∠C))}{2}

A - Area of Quadrilateral?S_a - Side A of Quadrilateral?S_d - Side D of Quadrilateral?∠A - Angle A of Quadrilateral?S_b - Side B of Quadrilateral?S_c - Side C of Quadrilateral?∠C - Angle C of Quadrilateral?

Area of Quadrilateral given Angles and Sides Example

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Here is how the Area of Quadrilateral given Angles and Sides equation looks like with Values.

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

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

60.7679 = \frac{(10 \cdot 5 \cdot \sin (95)) + (9 \cdot 8 \cdot \sin (85))}{2}

60.7679m² = \frac{(10m \cdot 5m \cdot \sin (95°)) + (9m \cdot 8m \cdot \sin (85°))}{2}

60.7679 = \frac{(10 \cdot 5 \cdot \sin (95)) + (9 \cdot 8 \cdot \sin (85))}{2}

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Area of Quadrilateral given Angles and Sides Solution

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

FIRST Step Consider the formula

A = \frac{(S a \cdot S d \cdot \sin (∠A)) + (S b \cdot S c \cdot \sin (∠C))}{2}

Next Step Substitute values of Variables

∴

A = \frac{(10m \cdot 5m \cdot \sin (95°)) + (9m \cdot 8m \cdot \sin (85°))}{2}

Next Step Convert Units

∴

A = \frac{(10m \cdot 5m \cdot \sin (1.6581rad)) + (9m \cdot 8m \cdot \sin (1.4835rad))}{2}

Next Step Prepare to Evaluate

∴

A = \frac{(10 \cdot 5 \cdot \sin (1.6581)) + (9 \cdot 8 \cdot \sin (1.4835))}{2}

Next Step Evaluate

∴

A = 60.7678765835963m²

LAST Step Rounding Answer

∴

A = 60.7679m²

Area of Quadrilateral given Angles 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

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 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

Angle A of Quadrilateral

The Angle A of Quadrilateral is the space between two intersecting lines( side a and side d) or surfaces at or close to the point where they meet.

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle A 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Sides

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}

How to Evaluate Area of Quadrilateral given Angles and Sides?

Area of Quadrilateral given Angles and Sides evaluator uses 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 to evaluate the Area of Quadrilateral, The Area of Quadrilateral given Angles and Sides formula is defined as the total region or the 2-dimensional space occupied by the surface of the Quadrilateral and calculated using angles and sides of the Quadriulateral. Area of Quadrilateral is denoted by A symbol.

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

FAQs on Area of Quadrilateral given Angles and Sides

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

The formula of Area of Quadrilateral given Angles and Sides is expressed as 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. Here is an example- 60.76788 = ((10*5*sin(1.6580627893943))+(9*8*sin(1.4835298641949)))/2.

How to calculate Area of Quadrilateral given Angles and Sides?

With Side A of Quadrilateral (S_a), Side D of Quadrilateral (S_d), Angle A of Quadrilateral (∠A), Side B of Quadrilateral (S_b), Side C of Quadrilateral (S_c) & Angle C of Quadrilateral (∠C) we can find Area of Quadrilateral given Angles and Sides using the formula - 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. This formula also uses Sine (sin) 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=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
Area of Quadrilateral=(Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)

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

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

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

Area of Quadrilateral given Angles 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 Angles and Sides can be measured.

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Area of Quadrilateral given Angles and Sides Formula

​GoArea of Quadrilateral Formula

​GoArea of Quadrilateral given Diagonals and Sides Formula

Area of Quadrilateral given Angles and Sides Example

Area of Quadrilateral given Angles and Sides Solution

Area of Quadrilateral given Angles and Sides Formula Elements

Other Formulas to find Area of Quadrilateral

How to Evaluate Area of Quadrilateral given Angles and Sides?

FAQs on Area of Quadrilateral given Angles and Sides

Variable Name

GoArea of Quadrilateral Formula

GoArea of Quadrilateral given Diagonals and Sides Formula