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Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram. Check FAQs
A=hLong⋅hShortsin(∠Acute)
A - Area of Parallelogram?hLong - Height to Long Edge of Parallelogram?hShort - Height to Short Edge of Parallelogram?∠Acute - Acute Angle of Parallelogram?

Area of Parallelogram given Heights and Acute Angle Example

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With units
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Here is how the Area of Parallelogram given Heights and Acute Angle equation looks like with Values.

Here is how the Area of Parallelogram given Heights and Acute Angle equation looks like with Units.

Here is how the Area of Parallelogram given Heights and Acute Angle equation looks like.

56.5685Edit=5Edit⋅8Editsin(45Edit)
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Area of Parallelogram given Heights and Acute Angle Solution

Follow our step by step solution on how to calculate Area of Parallelogram given Heights and Acute Angle?

FIRST Step Consider the formula
A=hLong⋅hShortsin(∠Acute)
Next Step Substitute values of Variables
∴ A=5m⋅8msin(45°)
Next Step Convert Units
∴ A=5m⋅8msin(0.7854rad)
Next Step Prepare to Evaluate
∴ A=5⋅8sin(0.7854)
Next Step Evaluate
∴A=56.5685424949321m²
LAST Step Rounding Answer
∴A=56.5685m²

Area of Parallelogram given Heights and Acute Angle 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
Height to Long Edge of Parallelogram
Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.
Symbol: hLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Height to Long Edge of ParallelogramOpen Variable
Height to Short Edge of Parallelogram
Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of a Parallelogram.
Symbol: hShort
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Height to Short Edge of ParallelogramOpen Variable
Acute Angle of Parallelogram
Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.
Symbol: ∠Acute
Measurement: AngleUnit: °
Note: Value should be between 0 to 90.
Formulas to find Acute 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 given Sides and Obtuse Angle between Sides
A=eLong⋅eShort⋅sin(∠Obtuse)
​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))

How to Evaluate Area of Parallelogram given Heights and Acute Angle?

Area of Parallelogram given Heights and Acute Angle evaluator uses Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram) to evaluate the Area of Parallelogram, The Area of Parallelogram given Heights and Acute Angle formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram, and calculated using heights from both long and short edges and the acute angle of the Parallelogram. Area of Parallelogram is denoted by A symbol.

How to evaluate Area of Parallelogram given Heights and Acute Angle using this online evaluator? To use this online evaluator for Area of Parallelogram given Heights and Acute Angle, enter Height to Long Edge of Parallelogram (hLong), Height to Short Edge of Parallelogram (hShort) & Acute Angle of Parallelogram (∠Acute) and hit the calculate button.

FAQs on Area of Parallelogram given Heights and Acute Angle

What is the formula to find Area of Parallelogram given Heights and Acute Angle?
The formula of Area of Parallelogram given Heights and Acute Angle is expressed as Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram). Here is an example- 56.56854 = (5*8)/sin(0.785398163397301).
How to calculate Area of Parallelogram given Heights and Acute Angle?
With Height to Long Edge of Parallelogram (hLong), Height to Short Edge of Parallelogram (hShort) & Acute Angle of Parallelogram (∠Acute) we can find Area of Parallelogram given Heights and Acute Angle using the formula - Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram). This formula also uses Sine (sin) 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(Obtuse Angle of Parallelogram)OpenImg
  • Area of Parallelogram=Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram)OpenImg
Can the Area of Parallelogram given Heights and Acute Angle be negative?
No, the Area of Parallelogram given Heights and Acute Angle, measured in Area cannot be negative.
Which unit is used to measure Area of Parallelogram given Heights and Acute Angle?
Area of Parallelogram given Heights and Acute Angle 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 Heights and Acute Angle can be measured.
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