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 ?
A
54°
B
96°
C
108°
D
120°
Correct Answer: Option C
Explanation
1. **Identify the Goal:** We need the central angle for $p\\%$. The variable $p$ represents 'Proteins + Other dry elements'.\n\n2. **Apply Complementary Thinking:** \n - The total human body is $100\\%$.\n - Water is given as $70\\%$.\n - Therefore, everything else (which is exactly what $p$ is) must be the remaining $30\\%$.\n - *Note:* We do not need to use the $16\\%$ value for Proteins. As seen in **2017 (Question 32)**, finding 'the rest' by subtracting the known major chunk is faster [1][24].\n - So, $p = 30\\%$.\n\n3. **Convert to Degrees using Unitary Method:** \n - We know that $100\\%$ of a pie chart is $360^\\circ$.\n - Using the **Unitary Method (scaling)** seen in **2017** [36] and **2014** [32]:\n - $10\\% = 36^\\circ$.\n - We need $30\\%$, which is $3$ times $10\\%$.\n - $3 \\times 36^\\circ = 108^\\circ$.\n\n4. **Final Check:** The angle is $108^\\circ$, which corresponds to option (C).