new geometry question

First it travels one more radius, then the circumference. then one more radius. So, we have $\frac{2}{\pi}+\frac{\pi*2*\frac{2}{\pi}}{4}+\frac{2}{\pi}=\frac{4}{\pi}+\frac{2*2}{4}=\boxed{1+\frac{4}{\pi}}$

Sorry, that is wrong because the point B is supposed to travel on a curved path, not just including the start and endpoints.

the radius is 2/pi   

so the circumference is  2pi*2/pi = 4

So a quarter of the circumference is 1

2/pi  + 1  +  2/pi  = 4/pi  +1

I get the same answer as Riemann