Calculations in a parallelogram. A parallelogram is a quadrilateral with parallel opposite sides of the same length and opposite angles of the same size. Enter the two side lengths and one angle and choose the number of decimal places. Then click Calculate. Please enter angles in degrees, here you can convert angle units.
β = 180° - α
e = √ a² + b² - 2 * a * b * cos ( β )
f = √ a² + b² - 2 * a * b * cos ( α )
p = 2 * ( a + b )
A = a * b * sin ( α ) = a * ha = b * hb
ha = b * sin ( α )
hb = a * sin ( α )
Side lengths, diagonal, perimeter and heights have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).
The centroid is at the intersection of the diagonals. To this, the parallelogram is point symmetric and rotationally symmetric at a rotation of 180° or multiples of this. By cutting off one corner and adding this piece on the other side, the parallelogram can be turned into a rectangle.