Discussion
Angular component of part B in the given figure is
The figure is a pie chart divided into three parts labelled with these values:
| Part | Value |
|---|---|
| A | 62 |
| B | 31 |
| C | 9 |
Answer: D
The angle of part B is about 109°.
The whole circle, 360°, represents the total of the three parts, 62 + 31 + 9 = 102. Part B's share is
\[ \begin{aligned} \theta_{B} &= \frac{31}{102} \times 360^{\circ} \\ &\approx 109.4^{\circ} \approx 109^{\circ} \end{aligned} \]
111.6° (option B, about 111°) would come from treating the values as percentages of 100, which they are not, since they total 102. 108° and 113° do not match the share either.
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