Question

A band is wrapped tightly around two pulleys whose centers are 6 feet apart. The radius of the larger pulley is 4 feet and that of the smaller one is 1 ft. How many feet long is the band?

Answer 1

I am thinking it is
\[ 6 \sqrt{3} + 6 \pi \]

Answer 2

The answer says that it's 6(√3 + π) which is that, but how did you get that?