Discussion
The following Pie chart represents the vehicles used by office goers to reach their office.
| Vehicles | |
|---|---|
| Walk | 20 |
| Car | 100 |
| Bus | 80 |
| Bike | 120 |
What is the central angle corresponding to the office goers who use four-wheelers for their commute ?
Answer: A
The central angle is 202.5°.
The chart totals \(20 + 100 + 80 + 120 = 320\) office goers. The four-wheelers are cars and buses, \(100 + 80 = 180\) people.
\[ \begin{aligned} \text{angle} &= \frac{180}{320} \times 360^\circ \\ &= 202.5^\circ \end{aligned} \]
Counting only cars would give \(\frac{100}{320} \times 360^\circ = 112.5^\circ\), which is not an option, a sign that buses belong in the four-wheeler group. 203° to 204° are rounding traps around the exact value.
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