Area of Parallelogram given Diagonals and Acute Angle between Diagonals Calculator

✖Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.ⓘ Long Diagonal of Parallelogram [d_Long]			+10% -10%
✖Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.ⓘ Short Diagonal of Parallelogram [d_Short]			+10% -10%
✖Acute Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is less than 90 degree.ⓘ Acute Angle between Diagonals of Parallelogram [∠_d(Acute)]			+10% -10%

✖Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.ⓘ Area of Parallelogram given Diagonals and Acute Angle between Diagonals [A]

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Area of Parallelogram given Diagonals and Acute Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram)
A = 1/2*d_Long*d_Short*sin(∠_d(Acute))
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 Parallelogram - (Measured in Square Meter) - Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.
Long Diagonal of Parallelogram - (Measured in Meter) - Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.
Short Diagonal of Parallelogram - (Measured in Meter) - Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.
Acute Angle between Diagonals of Parallelogram - (Measured in Radian) - Acute Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is less than 90 degree.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Parallelogram: 18 Meter --> 18 Meter No Conversion Required
Short Diagonal of Parallelogram: 9 Meter --> 9 Meter No Conversion Required
Acute Angle between Diagonals of Parallelogram: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 1/2*d_Long*d_Short*sin(∠_d(Acute)) --> 1/2*18*9*sin(0.872664625997001)

Evaluating ... ...

A = 62.0495998926287

STEP 3: Convert Result to Output's Unit

62.0495998926287 Square Meter --> No Conversion Required

FINAL ANSWER

62.0495998926287 ≈ 62.0496 Square Meter <-- Area of Parallelogram

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Area of Parallelogram Calculators

Area of Parallelogram given Diagonals and Acute Angle between Diagonals

LaTeX Go Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram)

Area of Parallelogram given Sides and Obtuse Angle between Sides

LaTeX Go Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Obtuse Angle of Parallelogram)

Area of Parallelogram

LaTeX Go Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram)

Area of Parallelogram given Long Edge and Height to Long Edge

LaTeX Go Area of Parallelogram = Long Edge of Parallelogram*Height to Long Edge of Parallelogram

Area of Parallelogram given Diagonals and Acute Angle between Diagonals Formula

LaTeX Go

Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram)
A = 1/2*d_Long*d_Short*sin(∠_d(Acute))

What is a Parallelogram?

A Parallelogram is a special type of quadrilateral that has two pairs of opposite and parallel sides. Rectangles are a special type of Parallelogram. The angles of Parallelogram are also pairwise equal and opposite - one pair of equal and opposite acute angle and one pair of equal and opposite obtuse angle angle.

How to Calculate Area of Parallelogram given Diagonals and Acute Angle between Diagonals?

Area of Parallelogram given Diagonals and Acute Angle between Diagonals calculator uses Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram) to calculate the Area of Parallelogram, Area of Parallelogram given Diagonals and Acute Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram, and calculated using diagonals and acute angle between diagonals of the Parallelogram. Area of Parallelogram is denoted by A symbol.

How to calculate Area of Parallelogram given Diagonals and Acute Angle between Diagonals using this online calculator? To use this online calculator for Area of Parallelogram given Diagonals and Acute Angle between Diagonals, enter Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Acute Angle between Diagonals of Parallelogram (∠_d(Acute)) and hit the calculate button. Here is how the Area of Parallelogram given Diagonals and Acute Angle between Diagonals calculation can be explained with given input values -> 62.0496 = 1/2*18*9*sin(0.872664625997001).

FAQ

What is Area of Parallelogram given Diagonals and Acute Angle between Diagonals?

Area of Parallelogram given Diagonals and Acute Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram, and calculated using diagonals and acute angle between diagonals of the Parallelogram and is represented as A = 1/2*d_Long*d_Short*sin(∠_d(Acute)) or Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram). Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram, Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram & Acute Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is less than 90 degree.

How to calculate Area of Parallelogram given Diagonals and Acute Angle between Diagonals?

Area of Parallelogram given Diagonals and Acute Angle between Diagonals formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram, and calculated using diagonals and acute angle between diagonals of the Parallelogram is calculated using Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram). To calculate Area of Parallelogram given Diagonals and Acute Angle between Diagonals, you need Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Acute Angle between Diagonals of Parallelogram (∠_d(Acute)). With our tool, you need to enter the respective value for Long Diagonal of Parallelogram, Short Diagonal of Parallelogram & Acute Angle between Diagonals of Parallelogram 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 Parallelogram?

In this formula, Area of Parallelogram uses Long Diagonal of Parallelogram, Short Diagonal of Parallelogram & Acute Angle between Diagonals of Parallelogram. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Parallelogram = Long Edge of Parallelogram*Height to Long Edge of Parallelogram
Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Obtuse Angle of Parallelogram)
Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram)

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