Question

What is the central angle of the sector (in the above pie chart) representing skin and bones together?

• A. $36°$
• B. $60°$
• C. $90°$
• D. $96°$

Answer 1

The correct option is D

$96°$

Determining the central angle of the sector representing skin and bones together.

From the above-given pie chart, we calculate the value that can be defined as follows.

Distributing of protein in the skin $=\frac{1}{10}$

Distributing of protein in the bones$=\frac{1}{6}$

Calculating the value of central angle that's sector representing skin and bones.

$$\begin{gathered} \frac{1}{10}+\frac{1}{6}=\frac{(3+5)}{30} \\ \Rightarrow =\frac{8}{30}\times 360° \\ \Rightarrow =8\times 12° \\ \Rightarrow =96° \end{gathered}$$

Hence, the correct choice is “Option D”.