Answer:
Option C. 13.3 in.
Step-by-step explanation:
Here's the required formula to find the radius of the bike tire :
[tex]\longrightarrow{\pmb{\sf{C_{(Circle)} = 2\pi r}}}[/tex]
- C = circumference
- π = 3.14
- r = radius
Substituting all the given values in the formula to find the radius of the bike tire :
[tex] \begin{gathered} \qquad{\longrightarrow{\sf{C_{(Circle)} = 2\pi r}}} \\ \\ \qquad{\longrightarrow{\sf{83.524 = 2 \times 3.14 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{83.524 = 6.28 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{83.524 = 6.28r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{83.524}{6.28}}}} \\ \\ \qquad{\longrightarrow{\sf{r = 13.3 \: in}}} \\ \\ \qquad \star{\underline{\boxed{\sf{\red{r = 13.3 \: in}}}}}\end{gathered}[/tex]
Hence, the radius of bike tire is 13.3 inches.
[tex]\rule{300}{2.5}[/tex]
