Základná veľkosť uhla
Urč základnú veľkosť uhla:
\( \large-\frac{{59\pi}}{5}\textrm{\large rad} \)
\( 59 : 10 = 5,… \)
\( k = 5 \)
\( {{\pi}}\left( {\frac{{59}}{5} − 5 · \frac{{10}}{5}} \right) = −\frac{9}{5}{{\pi}} \)
\( \large2{{\pi}}-\frac95{{\pi}}=\frac{{10}}{5}{{\pi}}-\frac95{{\pi}}=\frac{\pi}{5}\textrm{\large rad} \)
\( 59 : 10 = 5,… \)
\( k = 5 \)
\( {{\pi}}\left( {\frac{{59}}{5} − 5 · \frac{{10}}{5}} \right) = −\frac{9}{5}{{\pi}} \)
\( \large2{{\pi}}-\frac95{{\pi}}=\frac{{10}}{5}{{\pi}}-\frac95{{\pi}}=\frac{2\pi}{5}\textrm{\large rad} \)
\( 59 : 10 = 6,… \)
\( k = 6 \)
\( {{\pi}}\left( {\frac{{59}}{5} − 6 · \frac{{10}}{5}} \right) = −\frac{11}{5}{{\pi}} \)
\( \large2{{\pi}}-\frac{11}{5}{{\pi}}=\frac{{10}}{5}{{\pi}}-\frac{11}{5}{{\pi}}=−\frac{\pi}{5}\textrm{\large rad} \)
\( 59 : 10 = 4,… \)
\( k = 4 \)
\( {{\pi}}\left( {\frac{{59}}{5} − 4 · \frac{{10}}{5}} \right) = −\frac{7}{5}{{\pi}} \)
\( \large2{{\pi}}-\frac{7}{5}{{\pi}}=\frac{{10}}{5}{{\pi}}-\frac{7}{5}{{\pi}}=\frac{3\pi}{5}\textrm{\large rad} \)