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?

Solution:

Percentage of Other Dry Elements in the human body = 100 – (Percentage of Proteins + Percentage of Water) = 100 – (16 + 70) = 100 – 86 = 14%

The following pie-chart represents the scenario described in the question.

So, percentage of both Proteins and Other Dry Elements, i.e. p = 16 + 14 = 30%

In a pie diagram, 100% corresponds to 360o.

So, 30% will correspond to (360/100) × 30 = 108o.

That is, the central angle of the sector representing p on the pie diagram = 108o.