Calculations at half a yin-yang symbol or taiji, a symbol in Chinese philosophy. Similar symbols are known by other cultures as well. A yin-yang half has the perimeter or circumference of a circle and the area of a semicircle. It is made of a semicircle, of which on one side a semicircle with half the size is subtracted and added to the other side. Enter one value and choose the number of decimal places. Then click Calculate.
The yin-yang symbol, taiji.
Formulas:
d = 2 r
p = 2 π r
A = π r² / 2
pi:
π = 3.141592653589793...
Radius, diameter and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).
The Chinese yin-yang symbol consists of two of these equally sized geometric shapes, one of which is rotated 180 degrees and then both are combined to form a circle. One of these yin-yang halves is black, the other white. In Taiji, this symbol contains two additional circles: a small white circle centered at the thickest point of the black part and a black circle of equal size centered at the thickest point of the white part. The symbol refers to two related but opposite things, such as light and dark, warm and cold, and the like. This principle is called Taijitu. In the Taiji form, it is considered a symbol of the highest principle of the cosmos. The symbol has been known in China for about 3500 years, but has only been used in its current sense for about 1000 years.
Similar symbols were used in ancient European cultures. The early Celtic La Tène culture had already used somewhat more twisted ornaments of this kind more than 6000 years ago. A form more similar to the yin-yang symbol appeared among the Etruscans more than 1000 years later. The Romans also used it for decorative purposes; it can be found on a late Roman shield coat of arms in different colors with more freely drawn halves.
