Answer
$\color{blue}{s\approx 1500 \text{ km}}$
Work Step by Step
The central angle between the two cities is:
$=49^o-36^o=13^o$
Convert the angle to radians by multiplying $\dfrac{\pi}{180^o}$ to the angle measure to obtain:
$=13 \cdot \dfrac{\pi}{180^o}=\dfrac{13\pi}{180}$
RECALL:
The length of the arc $(s)$ intercepted by the central angle $\theta$ in a circle of radius $r$ is given by the formula:
$s = r\theta$, where $\theta$ is in radian measure.
Use the formula above to obtain:
$s=r\theta
\\s=6400 \cdot \frac{13\pi}{180}
\\s=1452.113938
\\\color{blue}{s\approx 1500 \text{ km}}$
