Area of Quadrilateral given Angles and Sides Calculator

✖Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.ⓘ Side A of Quadrilateral [S_a]			+10% -10%
✖Side D of Quadrilateral is the measure of the side D of the Quadrilateral.ⓘ Side D of Quadrilateral [S_d]			+10% -10%
✖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.ⓘ Angle A of Quadrilateral [∠A]			+10% -10%
✖Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.ⓘ Side B of Quadrilateral [S_b]			+10% -10%
✖Side C of Quadrilateral is the measure of the side C of the Quadrilateral.ⓘ Side C of Quadrilateral [S_c]			+10% -10%
✖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.ⓘ Angle C of Quadrilateral [∠C]			+10% -10%

✖Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.ⓘ Area of Quadrilateral given Angles and Sides [A]

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Area of Quadrilateral given Angles and Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
A = ((S_a*S_d*sin(∠A))+(S_b*S_c*sin(∠C)))/2
This formula uses 1 Functions, 7 Variables

Functions Used

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., sin(Angle)

Variables Used

Area of Quadrilateral - (Measured in Square Meter) - Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.
Side A of Quadrilateral - (Measured in Meter) - Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.
Side D of Quadrilateral - (Measured in Meter) - Side D of Quadrilateral is the measure of the side D of the Quadrilateral.
Angle A of Quadrilateral - (Measured in Radian) - 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.
Side B of Quadrilateral - (Measured in Meter) - Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.
Side C of Quadrilateral - (Measured in Meter) - Side C of Quadrilateral is the measure of the side C of the Quadrilateral.
Angle C of Quadrilateral - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Side A of Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Side D of Quadrilateral: 5 Meter --> 5 Meter No Conversion Required
Angle A of Quadrilateral: 95 Degree --> 1.6580627893943 Radian (Check conversion here)
Side B of Quadrilateral: 9 Meter --> 9 Meter No Conversion Required
Side C of Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Angle C of Quadrilateral: 85 Degree --> 1.4835298641949 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((S_a*S_d*sin(∠A))+(S_b*S_c*sin(∠C)))/2 --> ((10*5*sin(1.6580627893943))+(9*8*sin(1.4835298641949)))/2

Evaluating ... ...

A = 60.7678765835963

STEP 3: Convert Result to Output's Unit

60.7678765835963 Square Meter --> No Conversion Required

FINAL ANSWER

60.7678765835963 ≈ 60.76788 Square Meter <-- Area of Quadrilateral

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Quadrilateral » Area of Quadrilateral » Area of Quadrilateral given Angles and Sides

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Created by Nayana Phulphagar

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

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Verified by Dhruv Walia

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

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< Area of Quadrilateral Calculators

Area of Quadrilateral given Angles and Sides

LaTeX Go 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

Area of Quadrilateral given Diagonals and Sides

LaTeX Go 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 given Diagonals and Angle between Diagonals

LaTeX Go Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)

Area of Quadrilateral

LaTeX Go Area of Quadrilateral = 1/2*Diagonal 1 of Quadrilateral*Sum of Length of Perpendiculars of Quadrilateral

Area of Quadrilateral given Angles and Sides Formula

LaTeX Go

What is Quadrilateral?

A Quadrilateral is a plane figure that has four sides or edges, and also four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. The word ‘quadrilateral’ is derived from the Latin words ‘quadri,’ which means four, and ‘latus’, which means side.

How to Calculate Area of Quadrilateral given Angles and Sides?

Area of Quadrilateral given Angles and Sides calculator 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 calculate 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 calculate Area of Quadrilateral given Angles and Sides using this online calculator? To use this online calculator 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. Here is how the Area of Quadrilateral given Angles and Sides calculation can be explained with given input values -> 60.76788 = ((10*5*sin(1.6580627893943))+(9*8*sin(1.4835298641949)))/2.

FAQ

What is Area of Quadrilateral given Angles and Sides?

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 and is represented as A = ((S_a*S_d*sin(∠A))+(S_b*S_c*sin(∠C)))/2 or 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. Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral, Side D of Quadrilateral is the measure of the side D of the 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, Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral, Side C of Quadrilateral is the measure of the side C of the 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.

How to calculate Area of Quadrilateral given Angles and Sides?

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 is calculated using 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 calculate Area of Quadrilateral given Angles and Sides, you need 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). With our tool, you need to enter the respective value for Side A of Quadrilateral, Side D of Quadrilateral, Angle A of Quadrilateral, Side B of Quadrilateral, Side C of Quadrilateral & Angle C of Quadrilateral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Quadrilateral?

In this formula, Area of Quadrilateral uses Side A of Quadrilateral, Side D of Quadrilateral, Angle A of Quadrilateral, Side B of Quadrilateral, Side C of Quadrilateral & Angle C of Quadrilateral. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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