A wheel of perimeter `4pi` is rolling on a horizontal surface. The displacement of the point of contact of wheel and ground when the wheel completes one quarter of revolution is

Options

A. `sqrt((pi +2)^(2) +4)` along `tan^(-1)2/pi` with x-axis.
B. `sqrt((pi -2)^(2) +4)` along `tan^(-1) 2/pi` with x-axis
C. `sqrt((pi-2)^(2) + 4)` along `tan^(-1) 2/(pi-2)` with x-axis
D. `sqrt((pi+2)^(2) + 4)` along `tan^(-1) 2/(pi-2)` with x-axis

Answer

C