Area of Parallelogram given Heights and Acute Angle Calculator

✖Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.ⓘ Height to Long Edge of Parallelogram [h_Long]			+10% -10%
✖Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of a Parallelogram.ⓘ Height to Short Edge of Parallelogram [h_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 given Heights and Acute Angle [A]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Parallelogram Formulas PDF PDF Image

Area of Parallelogram given Heights and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram)
A = (h_Long*h_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.
Height to Long Edge of Parallelogram - (Measured in Meter) - Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.
Height to Short Edge of Parallelogram - (Measured in Meter) - Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of 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

Height to Long Edge of Parallelogram: 5 Meter --> 5 Meter No Conversion Required
Height to Short Edge of Parallelogram: 8 Meter --> 8 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 = (h_Long*h_Short)/sin(∠_Acute) --> (5*8)/sin(0.785398163397301)

Evaluating ... ...

A = 56.5685424949321

STEP 3: Convert Result to Output's Unit

56.5685424949321 Square Meter --> No Conversion Required

FINAL ANSWER

56.5685424949321 ≈ 56.56854 Square Meter <-- Area of Parallelogram

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Parallelogram » Area of Parallelogram » Area of Parallelogram given Heights and Acute Angle

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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 Heights and Acute Angle Formula

LaTeX Go

Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram)
A = (h_Long*h_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 given Heights and Acute Angle?

Area of Parallelogram given Heights and Acute Angle calculator uses Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram) to calculate 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 calculate Area of Parallelogram given Heights and Acute Angle using this online calculator? To use this online calculator for Area of Parallelogram given Heights and Acute Angle, enter Height to Long Edge of Parallelogram (h_Long), Height to Short Edge of Parallelogram (h_Short) & Acute Angle of Parallelogram (∠_Acute) and hit the calculate button. Here is how the Area of Parallelogram given Heights and Acute Angle calculation can be explained with given input values -> 56.56854 = (5*8)/sin(0.785398163397301).

FAQ

What is Area of Parallelogram given Heights and Acute Angle?

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 and is represented as A = (h_Long*h_Short)/sin(∠_Acute) or Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram). Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram, Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of 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 given Heights and Acute Angle?

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 is calculated using Area of Parallelogram = (Height to Long Edge of Parallelogram*Height to Short Edge of Parallelogram)/sin(Acute Angle of Parallelogram). To calculate Area of Parallelogram given Heights and Acute Angle, you need Height to Long Edge of Parallelogram (h_Long), Height to Short Edge of Parallelogram (h_Short) & Acute Angle of Parallelogram (∠_Acute). With our tool, you need to enter the respective value for Height to Long Edge of Parallelogram, Height to 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 Height to Long Edge of Parallelogram, Height to Short Edge of Parallelogram & Acute Angle 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)

Home

FREE PDFs

🔍 Search