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Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram. Check FAQs
A=eLong⋅eShort⋅sin(∠Obtuse)
A - Area of Parallelogram?eLong - Long Edge of Parallelogram?eShort - Short Edge of Parallelogram?∠Obtuse - Obtuse Angle of Parallelogram?

Area of Parallelogram given Sides and Obtuse Angle between Sides Example

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With units
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Here is how the Area of Parallelogram given Sides and Obtuse Angle between Sides equation looks like with Values.

Here is how the Area of Parallelogram given Sides and Obtuse Angle between Sides equation looks like with Units.

Here is how the Area of Parallelogram given Sides and Obtuse Angle between Sides equation looks like.

59.397Edit=12Edit⋅7Edit⋅sin(135Edit)
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Area of Parallelogram given Sides and Obtuse Angle between Sides Solution

Follow our step by step solution on how to calculate Area of Parallelogram given Sides and Obtuse Angle between Sides?

FIRST Step Consider the formula
A=eLong⋅eShort⋅sin(∠Obtuse)
Next Step Substitute values of Variables
∴ A=12m⋅7m⋅sin(135°)
Next Step Convert Units
∴ A=12m⋅7m⋅sin(2.3562rad)
Next Step Prepare to Evaluate
∴ A=12⋅7⋅sin(2.3562)
Next Step Evaluate
∴A=59.3969696196964m²
LAST Step Rounding Answer
∴A=59.397m²

Area of Parallelogram given Sides and Obtuse Angle between Sides Formula Elements

Variables
Functions
Area of Parallelogram
Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.
Symbol: A
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Area of ParallelogramOpen Variable
Long Edge of Parallelogram
Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Symbol: eLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Long Edge of ParallelogramOpen Variable
Short Edge of Parallelogram
Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.
Symbol: eShort
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Short Edge of ParallelogramOpen Variable
Obtuse Angle of Parallelogram
Obtuse Angle of Parallelogram is the measure of pair of opposite angles which are greater than 90 degree in a Parallelogram.
Symbol: ∠Obtuse
Measurement: AngleUnit: °
Note: Value should be between 90 to 180.
Formulas to find Obtuse Angle of ParallelogramOpen Variable
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.
Syntax: sin(Angle)

Other Formulas to find Area of Parallelogram

​Go Area of Parallelogram given Long Edge and Height to Long Edge
A=eLong⋅hLong
​Go Area of Parallelogram
A=eLong⋅eShort⋅sin(∠Acute)
​Go Area of Parallelogram given Diagonals and Acute Angle between Diagonals
A=12⋅dLong⋅dShort⋅sin(∠d(Acute))
​Go Area of Parallelogram given Short Edge and Height to Short Edge
A=eShort⋅hShort

How to Evaluate Area of Parallelogram given Sides and Obtuse Angle between Sides?

Area of Parallelogram given Sides and Obtuse Angle between Sides evaluator uses Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Obtuse Angle of Parallelogram) to evaluate the Area of Parallelogram, Area of Parallelogram given Sides and Obtuse Angle between Sides formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram, and calculated using sides and obtuse angle between sides of the Parallelogram. Area of Parallelogram is denoted by A symbol.

How to evaluate Area of Parallelogram given Sides and Obtuse Angle between Sides using this online evaluator? To use this online evaluator for Area of Parallelogram given Sides and Obtuse Angle between Sides, enter Long Edge of Parallelogram (eLong), Short Edge of Parallelogram (eShort) & Obtuse Angle of Parallelogram (∠Obtuse) and hit the calculate button.

FAQs on Area of Parallelogram given Sides and Obtuse Angle between Sides

What is the formula to find Area of Parallelogram given Sides and Obtuse Angle between Sides?
The formula of Area of Parallelogram given Sides and Obtuse Angle between Sides is expressed as Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Obtuse Angle of Parallelogram). Here is an example- 59.39697 = 12*7*sin(2.3561944901919).
How to calculate Area of Parallelogram given Sides and Obtuse Angle between Sides?
With Long Edge of Parallelogram (eLong), Short Edge of Parallelogram (eShort) & Obtuse Angle of Parallelogram (∠Obtuse) we can find Area of Parallelogram given Sides and Obtuse Angle between Sides using the formula - Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Obtuse Angle of Parallelogram). This formula also uses Sine function(s).
What are the other ways to Calculate Area of Parallelogram?
Here are the different ways to Calculate Area of Parallelogram-
  • Area of Parallelogram=Long Edge of Parallelogram*Height to Long Edge of ParallelogramOpenImg
  • Area of Parallelogram=Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram)OpenImg
  • Area of Parallelogram=1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram)OpenImg
Can the Area of Parallelogram given Sides and Obtuse Angle between Sides be negative?
No, the Area of Parallelogram given Sides and Obtuse Angle between Sides, measured in Area cannot be negative.
Which unit is used to measure Area of Parallelogram given Sides and Obtuse Angle between Sides?
Area of Parallelogram given Sides and Obtuse Angle between Sides is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Parallelogram given Sides and Obtuse Angle between Sides can be measured.
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