A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body.…
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?
54°
96°
108°
120°
Solution
Other dry elements = $100 - (16 + 70) = 14\%$. So $p = $ proteins + other dry elements $= 16 + 14 = 30\%$. In a pie chart 100% corresponds to 360°, so 30% corresponds to $(360/100) \times 30 = 108°$.