Scroll down for Instructions and Definitions
Click here to see information for all quadrilaterals.
For a trapezoid calculator, click here trapezoids.
For a kite calculator, click here kites.
For a parallelogram calculator, click here parallelograms.
For a square and rectangle calculator, click here squares.
First, click on one of the 5 choices, enter the data in the
appropriate input boxes, then click "CALCULATE".
All sides are equal.
Lines AD and CB are called diagonals and always meet at right angles.
Line AD is the long diagonal and line CB is the short diagonal.
The diagonals bisect the vertex angles.
Opposite angles are equal.
Every rhombus has 2 acute and 2 obtuse angles.
The altitude (or height) is perpendicular to sides AB & CD.
Rhombus Area = (AD • CB) ÷ 2
Rhombus Area = side • altitude
Rhombus Area = side² • sin (α or β)
Inscribing A Circle Within A Rhombus
All rhombuses are tangential quadrilaterals, meaning that they are 4 sided figures into which a circle (called an incircle) can be inscribed such that each of the four sides will touch the circle at only one point. (Basically, this means that the circle is tangent to each of the four sides of the rhombus.)
To inscribe a circle graphically within a rhombus (using compass and straight edge):
calculate the inradius, which is the altitude ÷ 2
set the compass precisely to this distance
draw the rhombus diagonals
place the compass point precisely at "E" where the diagonals intersect
Inscribe the circle using point E as its center and the inradius as its radius.
The default setting is for 5 significant figures but you can change that
by inputting another number in the box above.
Answers are displayed in scientific notation and for easier readability, numbers between
.001 and 1,000 will be displayed in standard format (with the same number of
The answers should display properly but there are a few browsers that will show
no output whatsoever. If so, enter a zero
in the box above. This eliminates all formatting but it is better than seeing no
output at all.
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