Answer
1452 km
Work Step by Step
Arc length s (for central angle $\theta$):$ \quad s=r\theta$, where $\theta$ is in radians
Converting between Degrees and Radians
1. Multiply a degree measure by $\displaystyle \frac{\pi}{180}$ radian and simplify to convert to radians.
2. Multiply a radian measure by $\displaystyle \frac{180^{\mathrm{o}}}{\pi}$ and simplify to convert to degrees.
----------------
$\theta=49^{\mathrm{o}}-36^{\mathrm{o}}=13^{\mathrm{o}}$
we convert this to radians
(conversion, case 1)
$\theta=13 (\displaystyle \frac{\pi}{180}$ rad $)=\displaystyle \frac{13\pi}{180}$ rad
Arc length s, with r=6400 km
$ s=r\displaystyle \theta=6400(\frac{13\pi}{180})\approx$1452.11393766$\approx 1452$ km
