Assume That the Cities Lie on the Same North-South Line $1.10$

Multiple Choice

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-Electrical wire is being wound around a drum with radius of $1.10$ meters. How much line (to the nearest hundredth of a meter) would be wound around the drum if it is rotated through an angle of $270.1 ^ { \circ }$ ?

A) $5.29 \mathrm {~m}$
B) $5.09 \mathrm {~m}$
C) $5.19 \mathrm {~m}$
D) $4.99 \mathrm {~m}$