The correct option is (c) 2.125

Explanation: The depth of the centroid y and the centre of pressure yCP are related by:

where I= the moment of inertia and A = area and θ = the angle of inclination of the lamina to the horizontal. Now,

y = 1 + 3 – 1 / 2 = 2, I = ^π ⁄ 64 * 4^2 = 4π, A = ^π ⁄ 4 * 4^2 = 4π, sin θ = ^1 ⁄ 2 Thus, yCP = 2.125m.