Question

The length of an arc is 12 cm. if the radius is 2 cm, what is the measure of the angle?

Answer 1

`\begin{gathered} \theta=(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}`
`\begin{gathered} s=\text{ 12cm} \\ r=\text{ 2cm} \\ \text{therefore} \\ \theta=(12)/(2) \\ \theta\text{ = 6 radian} \\ we\text{ must convert radian to degre}es\colon \end{gathered}`
`\begin{gathered} \pi\text{ radian ----}180\text{ degre}es \\ 6\text{ radian -----x} \\ x=(6\cdot180)/(\pi) \\ x=(1080)/(3.1416) \\ x=343.77 \\ by\text{ rouding up} \\ x=344\text{ degre}es \end{gathered}`