Answer:
[tex]510\degree=\frac{17\pi}{6}[/tex]
Step-by-step explanation:
We want to convert [tex]510\degree[/tex] to radian measure.
To convert from degree measure to radian measure, we multiply by
[tex]\frac{\pi}{180\degree}[/tex].
This implies that:
[tex]510\degree=510\degree \times \frac{\pi}{180\degree}[/tex].
[tex]510\degree=30\degree\times17 \times \frac{\pi}{6\times 30\degree}[/tex].
We cancel out the common factors to obtain;
[tex]510\degree=17 \times \frac{\pi}{6}[/tex].
[tex]\Rightarrow 510\degree=\frac{17\pi}{6}[/tex]
The correct answer is B.
