Revision as of 15:42, 19 December 2013

GOLDENANGLE(isdegrees)

GOLDENANGLE() returns the golden angle value in degrees or radians.

GOLDENANGLE() displays the golden angle in degrees if the argument is TRUE (or 1) and in radians if the argument is FALSE (or 0).

If 'a' and 'b' are two arcs where 'a' is longer arc and 'b' is smaller arc, then Golden angle is the angle subtended by the smaller arc when two arcs make a circle in golden ratio (φ).

It is represented as -

Golden Angle = ${\frac {a+b}{a}}$ = ${\frac {a}{b}}$ = Failed to parse (syntax error): {\displaystyle 360(2-φ)}

The value of Golden Angle is approximately 137.5077508875556° or 2.399963 radians.
Argument $isdegrees$ can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
If argument $isdegrees$ is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees.
If argument is invalid, Calci returns a #NULL error message.

GOLDENANGLE(TRUE) returns 137.5077508875556

GOLDENANGLE(1) returns 137.5077508875556

GOLDENANGLE(FALSE) returns 2.399963

GOLDENANGLE() returns 2.399963

@@ Line 14: / Line 14: @@
 Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2-&phi;)</math>
-*The value of Golden Angle is approximately ''137.508&deg;'' or ''2.399963 radians''.
+*The value of Golden Angle is approximately ''137.5077508875556&deg;'' or ''2.399963 radians''.
 *Argument <math>isdegrees</math> can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
 *If argument <math>isdegrees</math> is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees.