Area of Quadrilateral given Diagonals and Sides Calculator

✖A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.ⓘ Diagonal 1 of Quadrilateral [d₁]			+10% -10%
✖Diagonal 2 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.ⓘ Diagonal 2 of Quadrilateral [d₂]			+10% -10%
✖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 C of Quadrilateral is the measure of the side C of the Quadrilateral.ⓘ Side C of Quadrilateral [S_c]			+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 D of Quadrilateral is the measure of the side D of the Quadrilateral.ⓘ Side D of Quadrilateral [S_d]			+10% -10%

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

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Area of Quadrilateral given Diagonals and Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
A = sqrt((4*d₁^2*d₂^2)-(S_a^2+S_c^2-S_b^2-S_d^2)^2)/4
This formula uses 1 Functions, 7 Variables

Functions Used

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., sqrt(Number)

Variables Used

Area of Quadrilateral - (Measured in Square Meter) - Area of Quadrilateral is the amount of two-dimensional space taken up by the Quadrilateral.
Diagonal 1 of Quadrilateral - (Measured in Meter) - A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.
Diagonal 2 of Quadrilateral - (Measured in Meter) - Diagonal 2 of Quadrilateral is a straight line joining two opposite corners of 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 C of Quadrilateral - (Measured in Meter) - Side C of Quadrilateral is the measure of the side C of the Quadrilateral.
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 D of Quadrilateral - (Measured in Meter) - Side D of Quadrilateral is the measure of the side D of the Quadrilateral.

STEP 1: Convert Input(s) to Base Unit

Diagonal 1 of Quadrilateral: 11 Meter --> 11 Meter No Conversion Required
Diagonal 2 of Quadrilateral: 12 Meter --> 12 Meter No Conversion Required
Side A of Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Side C of Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Side B of Quadrilateral: 9 Meter --> 9 Meter No Conversion Required
Side D of Quadrilateral: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = sqrt((4*d₁^2*d₂^2)-(S_a^2+S_c^2-S_b^2-S_d^2)^2)/4 --> sqrt((4*11^2*12^2)-(10^2+8^2-9^2-5^2)^2)/4

Evaluating ... ...

A = 64.3874987866434

STEP 3: Convert Result to Output's Unit

64.3874987866434 Square Meter --> No Conversion Required

FINAL ANSWER

64.3874987866434 ≈ 64.3875 Square Meter <-- Area of Quadrilateral

(Calculation completed in 00.020 seconds)

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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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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 Diagonals 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 Diagonals and Sides?

Area of Quadrilateral given Diagonals and Sides calculator 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 calculate 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 calculate Area of Quadrilateral given Diagonals and Sides using this online calculator? To use this online calculator 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. Here is how the Area of Quadrilateral given Diagonals and Sides calculation can be explained with given input values -> 64.3875 = sqrt((4*11^2*12^2)-(10^2+8^2-9^2-5^2)^2)/4.

FAQ

What is Area of Quadrilateral given Diagonals and Sides?

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 and is represented as A = sqrt((4*d₁^2*d₂^2)-(S_a^2+S_c^2-S_b^2-S_d^2)^2)/4 or 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. A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral, Diagonal 2 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral, Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral, Side C of Quadrilateral is the measure of the side C of the Quadrilateral, Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral & Side D of Quadrilateral is the measure of the side D of the Quadrilateral.

How to calculate Area of Quadrilateral given Diagonals and Sides?

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 is calculated using 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 calculate Area of Quadrilateral given Diagonals and Sides, you need 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). With our tool, you need to enter the respective value for Diagonal 1 of Quadrilateral, Diagonal 2 of Quadrilateral, Side A of Quadrilateral, Side C of Quadrilateral, Side B of Quadrilateral & Side D 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 Diagonal 1 of Quadrilateral, Diagonal 2 of Quadrilateral, Side A of Quadrilateral, Side C of Quadrilateral, Side B of Quadrilateral & Side D 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 = (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

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