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Area of Parallelogram given diagonals and angle between diagonals Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals)
A = (1/2)*p*r*sin( y)
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Long diagonal - Long diagonal is a straight line joining two opposite corners of a given polygon. (Measured in 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
Long diagonal: 10 Meter --> 10 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
A = (1/2)*p*r*sin( y) --> (1/2)*10*5*sin( 0.785398163397301)
Evaluating ... ...
A = 17.6776695296611
STEP 3: Convert Result to Output's Unit
17.6776695296611 Square Meter --> No Conversion Required
FINAL ANSWER
17.6776695296611 Square Meter <-- Area
(Calculation completed in 00.015 seconds)

5 Area and Angle of Parallelogram Calculators

Area of Parallelogram given diagonals and angle between diagonals
area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals) Go
Area of Parallelogram given sides and smaller angle between its sides
area = Side C*Side D*sin(Angle A) Go
Area of Parallelogram given sides and larger angle between its sides
area = Side C*Side D*sin(Angle B) Go
Value of one angle of consecutive pair of angle of Parallelogram
angle_a = pi-Angle B Go
Area of Parallelogram given side and height
area = Side*Height Go

Area of Parallelogram given diagonals and angle between diagonals Formula

area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals)
A = (1/2)*p*r*sin( y)

What is Parallelogram?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

How to Calculate Area of Parallelogram given diagonals and angle between diagonals?

Area of Parallelogram given diagonals and angle between diagonals calculator uses area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals) to calculate the Area, Area of parallelogram given diagonals and angle between diagonals formula is defined as an amount of space occupied by Parallelogram in given plane. Area and is denoted by A symbol.

How to calculate Area of Parallelogram given diagonals and angle between diagonals using this online calculator? To use this online calculator for Area of Parallelogram given diagonals and angle between diagonals, enter Long diagonal (p), Short diagonal (r) & Angle Between Two Diagonals (y) and hit the calculate button. Here is how the Area of Parallelogram given diagonals and angle between diagonals calculation can be explained with given input values -> 17.67767 = (1/2)*10*5*sin( 0.785398163397301).

FAQ

What is Area of Parallelogram given diagonals and angle between diagonals?
Area of parallelogram given diagonals and angle between diagonals formula is defined as an amount of space occupied by Parallelogram in given plane and is represented as A = (1/2)*p*r*sin( y) or area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals). Long diagonal is a straight line joining two opposite corners of a given polygon, 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 Area of Parallelogram given diagonals and angle between diagonals?
Area of parallelogram given diagonals and angle between diagonals formula is defined as an amount of space occupied by Parallelogram in given plane is calculated using area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals). To calculate Area of Parallelogram given diagonals and angle between diagonals, you need Long diagonal (p), Short diagonal (r) & Angle Between Two Diagonals (y). With our tool, you need to enter the respective value for Long diagonal, 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 Area?
In this formula, Area uses Long diagonal, Short diagonal & Angle Between Two Diagonals. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = Side*Height
  • area = Side C*Side D*sin(Angle B)
  • area = Side C*Side D*sin(Angle A)
  • area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals)
  • angle_a = pi-Angle B
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