Given:
[tex]\begin{gathered} r=15\text{ }units \\ \hat{BC}=21\pi\text{ }units \end{gathered}[/tex]
To find:
The angle BOC.
Explanation:
Using the length of the arc formula,
[tex]\begin{gathered} l=r\theta \\ 21\pi=15\theta \\ \theta=\frac{21\pi}{15} \\ \theta=\frac{7}{5}\pi \end{gathered}[/tex]
The angle is
[tex]\angle BOC=\frac{7}{5}\pi[/tex]
Final answer:
The angle is
[tex]\angle BOC=\frac{7}{5}\pi[/tex]
