Discussion
A pie chart is constructed for the following data :
| Month | January | February | March | April | May | June |
| Number of computers sold | 500 | 700 | 840 | 750 | 890 | 820 |
What will be the difference between the central angles of the sectors representing the number of computers sold in March and January ?
Answer: C
The difference is 27.2°.
In a pie chart each value's central angle is its share of 360°. The total number of computers sold is
\[ 500 + 700 + 840 + 750 + 890 + 820 = 4500 \]
March exceeds January by 840 − 500 = 340 computers, so
\[ \begin{aligned} \text{difference} &= \frac{340}{4500} \times 360^\circ \\ &= 27.2^\circ \end{aligned} \]
Each computer is worth 0.08°. 28.8° would need a difference of 360 computers and 28° one of 350, so a slip in the subtraction or the total gives those options.
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