Correct Answer: 36.27

Solution : Given: Length of the arc of a circle = 19 cm
Radius = 30 cm
We know that,
Length of the arc = $\frac{\theta}{360^\circ}\times 2 \pi r$
⇒ $19= \frac{\theta}{360^\circ}\times 2 \times\frac{22}{7}\times 30$
⇒ $\theta=\frac{19\times7 }{2\times 22\times 30}\times 360^\circ$
⇒ $\theta=36.27^\circ$
Hence, the correct answer is 36.27.