[tex]\begin{gathered} \theta=\frac{s}{r} \\ \text{where } \\ \theta\text{ is the angle} \\ s\text{ is }the\text{ lenght of the subtended arc} \\ r\text{ is the radius} \\ iN\text{ THIS case:} \end{gathered}[/tex][tex]\begin{gathered} s=\text{ 12cm} \\ r=\text{ 2cm} \\ \text{therefore} \\ \theta=\frac{12}{2} \\ \theta\text{ = 6 radian} \\ we\text{ must convert radian to degre}es\colon \end{gathered}[/tex][tex]\begin{gathered} \pi\text{ radian ----}180\text{ degre}es \\ 6\text{ radian -----x} \\ x=\frac{6\cdot180}{\pi} \\ x=\frac{1080}{3.1416} \\ x=343.77 \\ by\text{ rouding up} \\ x=344\text{ degre}es \end{gathered}[/tex]
