Area of Parallelogram Calculator

✖Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.ⓘ Long Edge of Parallelogram [e_Long]			+10% -10%
✖Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.ⓘ Short Edge of Parallelogram [e_Short]			+10% -10%
✖Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.ⓘ Acute Angle of Parallelogram [∠_Acute]			+10% -10%

✖Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.ⓘ Area of Parallelogram [A]

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Formula

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Area of Parallelogram

Formula

`"A" = "e"_{"Long"}*"e"_{"Short"}*sin("∠"_{"Acute"})`

Example

`"59.39697m²"="12m"*"7m"*sin("45°")`

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Area of Parallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram)
A = e_Long*e_Short*sin(∠_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 Edge of Parallelogram - (Measured in Meter) - Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Short Edge of Parallelogram - (Measured in Meter) - Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.
Acute Angle of Parallelogram - (Measured in Radian) - Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Parallelogram: 12 Meter --> 12 Meter No Conversion Required
Short Edge of Parallelogram: 7 Meter --> 7 Meter No Conversion Required
Acute Angle of Parallelogram: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = e_Long*e_Short*sin(∠_Acute) --> 12*7*sin(0.785398163397301)

Evaluating ... ...

A = 59.3969696196612

STEP 3: Convert Result to Output's Unit

59.3969696196612 Square Meter --> No Conversion Required

FINAL ANSWER

59.3969696196612 ≈ 59.39697 Square Meter <-- Area of Parallelogram

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 9 Area of Parallelogram Calculators

Area of Parallelogram given Diagonals and Obtuse Angle between Diagonals

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

Area of Parallelogram given Diagonals and Acute Angle between Diagonals

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 Heights and Obtuse Angle

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

Area of Parallelogram given Heights and Acute Angle

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

Area of Parallelogram given Sides and Obtuse Angle between Sides

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

Area of Parallelogram

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

Area of Parallelogram given Short Edge and Height to Short Edge

Go Area of Parallelogram = Short Edge of Parallelogram*Height to Short Edge of Parallelogram

Area of Parallelogram given Long Edge and Height to Long Edge

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

Area of Parallelogram given Area of Long Diagonal Triangle

Go Area of Parallelogram = 2*Area of Long Diagonal Triangle of Parallelogram

Area of Parallelogram Formula

Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram)
A = e_Long*e_Short*sin(∠_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?

Area of Parallelogram calculator uses Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram) to calculate the Area of Parallelogram, Area of Parallelogram formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram. Area of Parallelogram is denoted by A symbol.

How to calculate Area of Parallelogram using this online calculator? To use this online calculator for Area of Parallelogram, enter Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Acute Angle of Parallelogram (∠_Acute) and hit the calculate button. Here is how the Area of Parallelogram calculation can be explained with given input values -> 59.39697 = 12*7*sin(0.785398163397301).

FAQ

What is Area of Parallelogram?

Area of Parallelogram formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram and is represented as A = e_Long*e_Short*sin(∠_Acute) or Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram). Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram, Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram & Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.

How to calculate Area of Parallelogram?

Area of Parallelogram formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram is calculated using Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram). To calculate Area of Parallelogram, you need Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Acute Angle of Parallelogram (∠_Acute). With our tool, you need to enter the respective value for Long Edge of Parallelogram, Short Edge of Parallelogram & Acute Angle 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 Edge of Parallelogram, Short Edge of Parallelogram & Acute Angle of Parallelogram. We can use 8 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 = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram)
Area of Parallelogram = Short Edge of Parallelogram*Height to Short Edge of Parallelogram
Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Obtuse Angle of Parallelogram)
Area of Parallelogram = 1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram)
Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram)
Area of Parallelogram = 2*Area of Long Diagonal Triangle of Parallelogram

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