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Area of a Parallelogram when diagonals are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (1/2)*Diagonal 1*Diagonal 2*sin(Angle Between Two Diagonals)
A = (1/2)*d1*d2*sin(y)
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Diagonal 1 - The Diagonal is the line stretching from one corner of the figure to the opposite corner through the center of the figure. (Measured in Meter)
Diagonal 2 - The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure. (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
Diagonal 1: 7.5 Meter --> 7.5 Meter No Conversion Required
Diagonal 2: 6 Meter --> 6 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)*d1*d2*sin(y) --> (1/2)*7.5*6*sin(0.785398163397301)
Evaluating ... ...
A = 15.909902576695
STEP 3: Convert Result to Output's Unit
15.909902576695 Square Meter --> No Conversion Required
FINAL ANSWER
15.909902576695 Square Meter <-- Area
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Inradius of a rhombus when diagonals are given
inradius = (Diagonal 1*Diagonal 2)/(2*sqrt(Diagonal 1^2+Diagonal 2^2)) Go
Diagonal of a Parallelogram (Diagonal 1)
diagonal_1 = sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2) Go
Diagonal of a Parallelogram (Diagonal 2)
diagonal_2 = sqrt(2*Side A^2+2*Side B^2-Diagonal 1^2) Go
Inradius of a rhombus when one diagonal and half-angle is given
inradius = (Diagonal 1*sin(Half angle between sides))/2 Go
Diagonal of a rhombus when other diagonal and half-angle are given
diagonal_1 = Diagonal 2*tan(Half angle between sides) Go
Side of a Rhombus when Diagonals are given
side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2 Go
Diagonal of a rhombus when side and other diagonal are given
diagonal_1 = sqrt(4*Side^2-Diagonal 2^2) Go
Side of a Rhombus when diagonals are given
side = sqrt(Diagonal 1^2+Diagonal 2^2)/2 Go
Diagonal of a rhombus when area and other diagonal are given
diagonal_1 = (2*Area)/Diagonal 2 Go
Area of a Kite when diagonals are given
area = (Diagonal 1*Diagonal 2)/2 Go
Angle between the diagonal and rectangle side in terms of the angle between the diagonals
theta = Angle Between Two Diagonals/2 Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of a Parallelogram when diagonals are given Formula

area = (1/2)*Diagonal 1*Diagonal 2*sin(Angle Between Two Diagonals)
A = (1/2)*d1*d2*sin(y)

What is Area of a Parallelogram when diagonals are given?

In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral. The sum of the interior angles in a quadrilateral is 360 degrees. A parallelogram has two pairs of parallel sides with equal measures. The area of a parallelogram is the region bounded by the parallelogram in a given two-dimension space. To find the area of a parallelogram when diagonals are given, you need to multiply the values for both the diagonal and sin of the angle of intersection and divide the whole value by 2.

How to Calculate Area of a Parallelogram when diagonals are given?

Area of a Parallelogram when diagonals are given calculator uses area = (1/2)*Diagonal 1*Diagonal 2*sin(Angle Between Two Diagonals) to calculate the Area, The area of a parallelogram when diagonals are given is the region bounded by the parallelogram in a given two-dimension space provided the value of both the diagonals and their intersection angle is given. Area and is denoted by A symbol.

How to calculate Area of a Parallelogram when diagonals are given using this online calculator? To use this online calculator for Area of a Parallelogram when diagonals are given, enter Diagonal 1 (d1), Diagonal 2 (d2) and Angle Between Two Diagonals (y) and hit the calculate button. Here is how the Area of a Parallelogram when diagonals are given calculation can be explained with given input values -> 15.9099 = (1/2)*7.5*6*sin(0.785398163397301).

FAQ

What is Area of a Parallelogram when diagonals are given?
The area of a parallelogram when diagonals are given is the region bounded by the parallelogram in a given two-dimension space provided the value of both the diagonals and their intersection angle is given and is represented as A = (1/2)*d1*d2*sin(y) or area = (1/2)*Diagonal 1*Diagonal 2*sin(Angle Between Two Diagonals). The Diagonal is the line stretching from one corner of the figure to the opposite corner through the center of the figure, The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure and Angle Between Two Diagonals is the angle between the intersection point of the diagonals.
How to calculate Area of a Parallelogram when diagonals are given?
The area of a parallelogram when diagonals are given is the region bounded by the parallelogram in a given two-dimension space provided the value of both the diagonals and their intersection angle is given is calculated using area = (1/2)*Diagonal 1*Diagonal 2*sin(Angle Between Two Diagonals). To calculate Area of a Parallelogram when diagonals are given, you need Diagonal 1 (d1), Diagonal 2 (d2) and Angle Between Two Diagonals (y). With our tool, you need to enter the respective value for Diagonal 1, Diagonal 2 and 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 Diagonal 1, Diagonal 2 and Angle Between Two Diagonals. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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