Answer:
[tex] \theta=\frac{75\pi^c}{628} [/tex]
Step-by-step explanation:
Formula for length of arc is given as:
[tex] l=\frac{\theta}{2\pi} \times 2\pi r[/tex]
Plug l = 1.5 and r = 4 in the above equation, we find:
[tex] 1.5=\frac{\theta}{2\pi} \times 2\times 3.14\times 4[/tex]
[tex] 1.5=\frac{\theta}{\pi} \times 12.56[/tex]
[tex] \theta=\frac{1.5\pi}{12.56} [/tex]
[tex] \theta=\frac{150\pi}{1256} [/tex]
[tex] \theta=\frac{75\pi^c}{628} [/tex]
