'Declaration Public Class UltraCalcFunctionPi Inherits BuiltInFunctionBase
public class UltraCalcFunctionPi : BuiltInFunctionBase
PI()
The mathematical constant pi represents the relationship between a circle's diameter and it's circumference. It is also the constant relating the square of a circle's radius with the surface area of the circle. It has a great many applications in mathematics, geometry, the sciences, and engineering.
The constant pi is a non-terminating decimal number, although UltraCalc approximates it to 15 significant digits of precision (3.14159265358979).
A common use of the PI function in UltraCalc is to convert a measurement in radians which is the form in which trigonometric functions take their arguments, and the more conventional degrees of arc. This conversion can be accomplished by multiplying the radian measurement by PI()/180. The following table describes some benchmarks for comparison between radians and degrees.
| Radians | Degrees | Turns of a wheel (common example) |
|---|---|---|
| 0 | 0 | no turns |
| PI/4 | 45 | one-eighth turn |
| PI/2 | 90 | one-quarter turn |
| PI | 180 | one-half turn |
| 2x PI | 360 | one complete turn |
| 3x PI | 540 | one and one-half turn |
Target Platforms: Windows 10, Windows 8.1, Windows 8, Windows 7, Windows Server 2012, Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2