Geometry

Area of a rhombus calculator

Area of a rhombus calculator - formulas and calculator for calculating rhombus area. Area of a rhombus - is a numerical characteristic characterizing the size of a plane bounded by four series-connected segments (sides) of the same length, in which the opposite sides are parallel in pairs, and the angle between any two adjacent sides is not equal to 90 degrees.

Various formulas are used to calculate the rhombus area, depending on the known input data.


Table with rhombus area formulas (at the end of the page)




1

Area of the rhombus on side and height

Area of the rhombus on side and height
... preparation ...
a - side
h - height


2

Area of the rhombus with two diagonals

Area of the rhombus with two diagonals
... preparation ...
d1 - diagonal
d2 - diagonal


3

Area of the rhombus in the corner and the opposite diagonal

Area of the rhombus in the corner and the opposite diagonal
... preparation ...
d - diagonal
α° - angle between parties


4

Area of the rhombus by angle and a diagonal drawn from that angle

Area of the rhombus by angle and a diagonal drawn from that angle
... preparation ...
d - diagonal
α° - angle between parties


5

Area of the rhombus on the side and the corner between the sides

Area of the rhombus on the side and the corner between the sides
... preparation ...
a - side
α° - angle between parties


6

Area of the rhombus along the radius of the inscribed circle and the corner between the sides

Area of the rhombus along the radius of the inscribed circle and the corner between the sides
... preparation ...
r - radius of inscribed circle
α° - angle between parties


7

Area of the rhombus on the radius of the inscribed circle and the side

Area of the rhombus on the radius of the inscribed circle and the side
... preparation ...
a - side
r - radius of inscribed circle

Note:

If the angle is specified in radians in the source data, then for conversion to degrees you can use the formula: 1 radian × (180/π)° = 57,296°


Table with rhombus area formulas

Depending on the known source data, the area of the rhombus can be calculated by various formulas.


initial data
(active link to go to the calculator)
sketch formula
1 side and height
2 diagonals
3 diagonal and angle between the sides
4 diagonal and angle between the sides
5 side and angle between sides
6 radius of the inscribed circle and the angle between the sides
7 side and radius of the inscribed circle



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