Rhombus - Math Is Fun
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(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
- All sides have equal length
- Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram)
- The altitude is the right angle distance between opposite sides
- And the diagonals "p" and "q" of a rhombus bisect each other at right angles
Play with a rhombus:
images/geom-quad.js?mode=rhombusArea of a Rhombus
The Area can be calculated by:
- the altitude times the side length: Area = altitude × s
- the side length squared (s2) times the sine of angle A (or angle B): Area = s2 sin(A) Area = s2 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 m2
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) because all sides are equal in 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.
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. Very rarely rhombbi (with a double b) is used.
The name "rhombus" comes from the Greek word rhombos: a piece of wood whirled on a string to make a roaring noise! What we might call a "bullroarer".
9101, 9102, 9103, 9104, 9105, 9106, 9107, 9108, 9109, 9110 Quadrilaterals Geometry IndexTag » What Attributes Does A Rhombus Have
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