Q. A pie diagram shows the percentage distribution of proteins, water and on the 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?
(a) 54°
(b) 96°
(c) 108°
(d) 120°
Correct Answer: (c) 108°
Question from UPSC Prelims 2021 CSAT Paper
Explanation :
Pie Chart Analysis
A pie chart represents 100% of the data as a full circle with 360 degrees. In this case, proteins correspond to 16% and water corresponds to 70%, so the other dry elements correspond to 100% – 16% – 70% = 14%. Since p represents the sum of proteins and other dry elements, p = 16% + 14% = 30%.
Since p represents 30% of the data, the central angle of the sector representing p on the pie diagram is (30/100) * 360 = 108 degrees.
