Area of Quadrilateral given Diagonals and Angle between Diagonals 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%
✖Angle between Diagonals of Quadrilateral is the measure of the angle formed at the intersection of both the diagonals of the Quadrilateral.ⓘ Angle between Diagonals of Quadrilateral [∠_Diagonals]			+10% -10%

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

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Area of Quadrilateral given Diagonals and Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)
A = (d₁*d₂)/2*sin(∠_Diagonals)
This formula uses 1 Functions, 4 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.
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.
Angle between Diagonals of Quadrilateral - (Measured in Radian) - Angle between Diagonals of Quadrilateral is the measure of the angle formed at the intersection of both the diagonals 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
Angle between Diagonals of Quadrilateral: 105 Degree --> 1.8325957145937 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (d₁*d₂)/2*sin(∠_Diagonals) --> (11*12)/2*sin(1.8325957145937)

Evaluating ... ...

A = 63.7511045350844

STEP 3: Convert Result to Output's Unit

63.7511045350844 Square Meter --> No Conversion Required

FINAL ANSWER

63.7511045350844 ≈ 63.7511 Square Meter <-- Area of Quadrilateral

(Calculation completed in 00.004 seconds)

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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 Angle between Diagonals Formula

LaTeX Go

Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral)
A = (d₁*d₂)/2*sin(∠_Diagonals)

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 Angle between Diagonals?

Area of Quadrilateral given Diagonals and Angle between Diagonals calculator uses Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral) to calculate the Area of Quadrilateral, The Area of Quadrilateral given Diagonals and Angle between Diagonals formula is defined as the total region or the 2-dimensional space occupied by the surface of the Quadrilateral and calculated using its diagonals and angle between diagonals. Area of Quadrilateral is denoted by A symbol.

How to calculate Area of Quadrilateral given Diagonals and Angle between Diagonals using this online calculator? To use this online calculator for Area of Quadrilateral given Diagonals and Angle between Diagonals, enter Diagonal 1 of Quadrilateral (d₁), Diagonal 2 of Quadrilateral (d₂) & Angle between Diagonals of Quadrilateral (∠_Diagonals) and hit the calculate button. Here is how the Area of Quadrilateral given Diagonals and Angle between Diagonals calculation can be explained with given input values -> 63.7511 = (11*12)/2*sin(1.8325957145937).

FAQ

What is Area of Quadrilateral given Diagonals and Angle between Diagonals?

The Area of Quadrilateral given Diagonals and Angle between Diagonals formula is defined as the total region or the 2-dimensional space occupied by the surface of the Quadrilateral and calculated using its diagonals and angle between diagonals and is represented as A = (d₁*d₂)/2*sin(∠_Diagonals) or Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral). 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 & Angle between Diagonals of Quadrilateral is the measure of the angle formed at the intersection of both the diagonals of the Quadrilateral.

How to calculate Area of Quadrilateral given Diagonals and Angle between Diagonals?

The Area of Quadrilateral given Diagonals and Angle between Diagonals formula is defined as the total region or the 2-dimensional space occupied by the surface of the Quadrilateral and calculated using its diagonals and angle between diagonals is calculated using Area of Quadrilateral = (Diagonal 1 of Quadrilateral*Diagonal 2 of Quadrilateral)/2*sin(Angle between Diagonals of Quadrilateral). To calculate Area of Quadrilateral given Diagonals and Angle between Diagonals, you need Diagonal 1 of Quadrilateral (d₁), Diagonal 2 of Quadrilateral (d₂) & Angle between Diagonals of Quadrilateral (∠_Diagonals). With our tool, you need to enter the respective value for Diagonal 1 of Quadrilateral, Diagonal 2 of Quadrilateral & Angle between Diagonals 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 & Angle between Diagonals 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 = ((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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