Trig Diagnostic Test

ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
\end{document}
STDERR:
This is TeX, Version 3.14159 (Web2C 7.4.5)
(/tmp/eBqdheeCps/6NvwcoJbzU
LaTeX2e <2001/06/01>
Babel  and hyphenation patterns for american, french, german, ngerman, n
ohyphenation, loaded.
(/usr/share/texmf/tex/latex/base/article.cls
Document Class: article 2001/04/21 v1.4e Standard LaTeX document class
(/usr/share/texmf/tex/latex/base/fleqn.clo)
(/usr/share/texmf/tex/latex/base/size12.clo))
(/usr/share/texmf/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texmf/tex/latex/amsmath/amstext.sty
(/usr/share/texmf/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf/tex/latex/xcolor/xcolor.sty
(/usr/share/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf/tex/latex/graphics/dvips.def))
(/usr/share/texmf/tex/latex/base/latexsym.sty)
No file 6NvwcoJbzU.aux.
(/usr/share/texmf/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
 }
                 
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                \frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.
 
                }
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                \frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.
 
                }
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                  \end{math}
! Extra }, or forgotten \endgroup.
\frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                 
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                  \end{math}

! LaTeX Error: Bad math environment delimiter.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H   for immediate help.
 ...                                              
                                                  
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                  
[3] (./6NvwcoJbzU.aux) )
(see the transcript file for additional information)
Output written on 6NvwcoJbzU.dvi (3 pages, 1076 bytes).
Transcript written on 6NvwcoJbzU.log.