Long Diagonal of Parallelogram given Area, Short Diagonal and Acute Angle between Diagonals Calculator

Calculate Long Diagonal







Formula

The formula to calculate the Long Diagonal of Parallelogram is:

\[ dLong = \frac{2 \cdot A}{dShort \cdot \sin(\angle d(Acute))} \]

Definition

Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram. Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram. Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram. Acute Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is less than 90 degrees.

Example Calculation

Let's assume the following values:

Using the formula:

\[ dLong = \frac{2 \cdot 60}{9 \cdot \sin(0.872664625997001)} = 17.4054305244328 \]

The Long Diagonal is 17.4054305244328 Meters.

Conversion Chart

Area (Square Meters) Short Diagonal (Meters) Acute Angle (Radians) Long Diagonal (Meters)
50 9 0.872664625997 14.504525437027310
55 9 0.872664625997 15.954977980730041
60 9 0.872664625997 17.405430524432774
65 9 0.872664625997 18.855883068135505
70 9 0.872664625997 20.306335611838236