A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins correspond to 16% and water corresponds to 70%. If both proteins and the other dry elements correspond to p%, then what is the central angle of the sector representing p on the pie diagram ?

Correct Option: (c) 108°

Given in the pie diagram: Proteins = 16%, Water = 70%. It is stated that both proteins and the other dry elements correspond to p%. The total percentage distribution in the human body must sum up to 100%. Therefore, Water (70%) + Proteins (16%) + Other dry elements = 100% => 70 + 16 + Other dry elements = 100 => 86 + Other dry elements = 100 => Other dry elements = 14%. Now, both proteins and the other dry elements correspond to p%, so p = Proteins + Other dry elements = 16% + 14% = 30%. Alternatively, since water is 70%, the rest of the body (proteins + other dry elements + etc.) is 100 - 70 = 30%, which means p = 30%. We need to find the central angle of the sector representing p on the pie diagram. A full circle represents 360 degrees, which corresponds to 100%. The central angle for p% is calculated as: (p / 100) * 360 degrees = (30 / 100) * 360 degrees = 0.30 * 360 = 108 degrees. Thus, option (c) is correct.