Rhombus
(Jump to Area of a Rhombus or Perimeter of a Rhombus)
A Rhombus is a flat shape with 4 equal straight sides.
A rhombus looks like a diamond |
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All sides have equal length | |
Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). | |
The altitude is the distance at right angles to two sides | |
And the diagonals "p" and "q" of a rhombus bisect each other at right angles. |
Play with a rhombus:
Area of a Rhombus
The Area can be calculated by:
- the altitude times the side length:
Area = altitude × s
- the side length squared (s^{2}) times the sine of angle A (or angle B):
Area = s^{2} sin(A)Area = s^{2} sin(B)
- by multiplying the lengths of the diagonals and then dividing by 2:
Area = (p_{} × q)/2
Example: A rhombus has diagonals of 6 m and 8 m, what is its Area?
Area = (6 m × 8 m)/2 = 24 m^{2}
If you can draw your Rhombus, try the Area of Polygon by Drawing tool.)
Perimeter of a Rhombus
The Perimeter is the distance around the edges.
The Perimeter is 4 times "s" (the side length) Perimeter = 4s |
Example: A rhombus has a side length of 12 cm, what is its Perimeter?
Perimeter = 4 × 12 cm = 48 cm
Is a Square a Rhombus?
Yes, because a square is just a rhombus where the angles are all right angles.
Other Names
It is more common to call this shape a rhombus, but some people call it a rhomb or even a diamond.
The plural is rhombi or rhombuses, and, rarely, rhombbi or rhombbuses (with a double b).
The name "rhombus" comes from the Greek word rhombos: a piece of wood apparently whirled on a string to make a roaring noise!