Parallelogram Calculator and Solver
Easy to use online calculators to calculate the area ( Ar ), sides, diagonals, height, and angles of a parallelogram.
These online calculators use the formulas and properties of the parallelogram listed below.
Area ( Ar ) of a parallelogram may be calculated using different formulas:
\[
Ar = b \times h = a \times b\sin(A) = a \times b\sin(B)
\]
Height:
\[
h = a\sin(B)
\]
Diagonals (BD) and (AC) (using the law of cosine):
\[
AC^2 = a^2 + b^2 - 2ab\cos(B)
\]
\[
BD^2 = a^2 + b^2 - 2ab\cos(A)
= a^2 + b^2 + 2ab\cos(B)
\]
Internal angles:
\[
\angle A = \angle C,\qquad \angle B = \angle D
\]
\[
\angle A + \angle B = 180^\circ
\]
1 – Use Parallelogram Calculator Given Sides \(a\), \(b\) and Angle \(A\)
Enter the sides (a), (b) and angle (A) as positive real numbers and press “Calculate”.
The outputs are the area, the height, angle (B), and diagonals of the parallelogram.
2 - Use Parallelogram Calculator Given sides \( a \), \( b \) and height \( h \)
Enter the sides a, b and height h as positive real numbers and press "Calculate". The outputs are the area, angleA, angle B and diagonals of the parallelogram.
3 - Use Parallelogram Calculator Given Area \(Ar\), side \( a \) and height \( h \)
Enter the Area Ar, side a, and height h as positive real numbers and press "Calculate". The outputs are side b, angleA, angle B and diagonals of the parallelogram.
4 - Use Parallelogram Calculator Given diagonals \(AC\) and \(BD \) and side \( a \)
Enter the the diagonals and side as positive real numbers and press "Calculate". The outputs are side b, angleA, angle B, Area Ar and height h of the parallelogram.
More References and Links
parallelogram
Parallelogram Problems
Online Geometry Calculators and Solvers.