Consider regular polygons with number of sides n = 3, 4, 5 ...... as shown in the figure, The center of mass of all the polygons is at height h from the ground. They roll on a horizontal surface about the leading vertex without slipping and sliding as depicted,. The maximum increase in height of the locus of the center of mass for each polygton is `Delta`. Then `Delta` depends on n and h as

Options

A. `Delta=hsin((2pi)/n)`
B. `Delta=htan^2((pi)/(2n))`
C. `Delta=hsin^2((pi)/(n))`
D. `Delta=h(1/(cos(pi//n))-1)`