## Area of Quadrilateral given Angles and Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
A = ((Sa*Sd*sin(∠A))+(Sb*Sc*sin(∠C)))/2
This formula uses 1 Functions, 7 Variables
Functions Used
sin - Trigonometric sine function, 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 = ((Sa*Sd*sin(∠A))+(Sb*Sc*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
60.7678765835963 60.76788 Square Meter <-- Area of Quadrilateral
(Calculation completed in 00.024 seconds)
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## < 4 Area of Quadrilateral Calculators

Area of Quadrilateral given Angles and Sides
Area of Quadrilateral given Diagonals and Sides
Area of Quadrilateral given Diagonals and Angle between Diagonals

## Area of Quadrilateral given Angles and Sides Formula

A = ((Sa*Sd*sin(∠A))+(Sb*Sc*sin(∠C)))/2

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?

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 (Sa), Side D of Quadrilateral (Sd), Angle A of Quadrilateral (∠A), Side B of Quadrilateral (Sb), Side C of Quadrilateral (Sc) & 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.

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