**Area**

As for all parallelograms, the area *K* of a rhombus is the product of its base and its height. The base is simply any side length *a*, and the height *h* is the perpendicular distance between any two non-adjacent sides:

The area can also be expressed as the base squared times the sine of any angle:

or as half the product of the diagonals *p*, *q*:

or as the semiperimeter times the radius of the circle inscribed in the rhombus (inradius):

Read more about this topic: Rhombus

### Famous quotes containing the word area:

“... nothing is more human than substituting the quantity of words and actions for their character. But using imprecise words is very similar to using lots of words, for the more imprecise a word is, the greater the *area* it covers.”

—Robert Musil (1880–1942)

“I am aware of the damp souls of housemaids

Sprouting despondently at *area* gates.”

—T.S. (Thomas Stearns)

“Now for civil service reform. Legislation must be prepared and executive rules and maxims. We must limit and narrow the *area* of patronage. We must diminish the evils of office-seeking. We must stop interference of federal officers with elections. We must be relieved of congressional dictation as to appointments.”

—Rutherford Birchard Hayes (1822–1893)