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Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals Solution

STEP 0: Pre-Calculation Summary
Formula Used
long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals))
p = (2*A)/(r*sin(y))
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
Short diagonal - Short diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
Angle Between Two Diagonals - Angle Between Two Diagonals is the angle between the intersection point of the diagonals. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Short diagonal: 5 Meter --> 5 Meter No Conversion Required
Angle Between Two Diagonals: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = (2*A)/(r*sin(y)) --> (2*50)/(5*sin(0.785398163397301))
Evaluating ... ...
p = 28.2842712474661
STEP 3: Convert Result to Output's Unit
28.2842712474661 Meter --> No Conversion Required
FINAL ANSWER
28.2842712474661 Meter <-- Long diagonal
(Calculation completed in 00.000 seconds)

8 Diagonal of Parallelogram Calculators

Short Diagonal of Parallelogram given obtuse angle
short_diagonal = sqrt(Side C^2+Side D^2+2*Side C*Side D*cos(Obtuse Angle)) Go
Short Diagonal of Parallelogram given acute angle
short_diagonal = sqrt(Side C^2+Side D^2-(2*Side C*Side D*cos(Acute Angle))) Go
Long Diagonal of Parallelogram given obtuse angle
long_diagonal = sqrt(Side C^2+Side D^2-2*Side C*Side D*cos(Obtuse Angle)) Go
Long Diagonal of Parallelogram given acute angle
long_diagonal = sqrt(Side C^2+Side D^2+2*Side C*Side D*cos(Acute Angle)) Go
Diagonal of Parallelogram given sides and angle between sides
diagonal = sqrt((Side C)^2+(Side D)^2+2*Side C*Side D*cos(Theta)) Go
Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals
long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals)) Go
Short Diagonal of Parallelogram given area, long diagonal and angle between diagonals
short_diagonal = (2*Area)/(Long diagonal*sin(Angle Between Two Diagonals)) Go
Long Diagonal of Parallelogram given short diagonal
long_diagonal = sqrt(2*Side C^2+2*Side D^2-Short diagonal^2) Go

Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals Formula

long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals))
p = (2*A)/(r*sin(y))

What is diagonal of the parallelogram and how it is calculated ?

The diagonal of a parallelogram is any segment that connects two vertices of a parallelogram at opposite angles. Its formula is d1 = 2A / d2 sinγ Where d1 is one of the diagonal , A is the area , d2 is another diagonal and sinγ is angle between diagonals.

How to Calculate Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals?

Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals calculator uses long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals)) to calculate the Long diagonal, Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals is any segment that connects two vertices of a parallelogram opposite angles. Long diagonal and is denoted by p symbol.

How to calculate Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals using this online calculator? To use this online calculator for Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals, enter Area (A), Short diagonal (r) & Angle Between Two Diagonals (y) and hit the calculate button. Here is how the Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals calculation can be explained with given input values -> 28.28427 = (2*50)/(5*sin(0.785398163397301)).

FAQ

What is Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals?
Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals is any segment that connects two vertices of a parallelogram opposite angles and is represented as p = (2*A)/(r*sin(y)) or long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals)). The area is the amount of two-dimensional space taken up by an object, Short diagonal is a straight line joining two opposite corners of a given polygon & Angle Between Two Diagonals is the angle between the intersection point of the diagonals.
How to calculate Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals?
Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals is any segment that connects two vertices of a parallelogram opposite angles is calculated using long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals)). To calculate Long Diagonal of Parallelogram given area, short diagonal and angles between diagonals, you need Area (A), Short diagonal (r) & Angle Between Two Diagonals (y). With our tool, you need to enter the respective value for Area, Short diagonal & Angle Between Two Diagonals 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 Long diagonal?
In this formula, Long diagonal uses Area, Short diagonal & Angle Between Two Diagonals. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • diagonal = sqrt((Side C)^2+(Side D)^2+2*Side C*Side D*cos(Theta))
  • long_diagonal = (2*Area)/(Short diagonal*sin(Angle Between Two Diagonals))
  • short_diagonal = (2*Area)/(Long diagonal*sin(Angle Between Two Diagonals))
  • long_diagonal = sqrt(Side C^2+Side D^2+2*Side C*Side D*cos(Acute Angle))
  • long_diagonal = sqrt(Side C^2+Side D^2-2*Side C*Side D*cos(Obtuse Angle))
  • short_diagonal = sqrt(Side C^2+Side D^2-(2*Side C*Side D*cos(Acute Angle)))
  • short_diagonal = sqrt(Side C^2+Side D^2+2*Side C*Side D*cos(Obtuse Angle))
  • long_diagonal = sqrt(2*Side C^2+2*Side D^2-Short diagonal^2)
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