A wheel of perimeter `4pi m` 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