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A circle graph divides a quantity into sectors. If the *Office Copiers* sector occupies $25\%$ of total production, what is the **central angle** of that sector (in degrees, to the nearest whole degree)?

A$180^{\circ}$
B$25^{\circ}$
C$45^{\circ}$
D$90^{\circ}$
Answer & Solution
Correct answer: D. $90^{\circ}$
Central angle $=$ percent $\times 360^{\circ}$. So $0.25 \times 360^{\circ} = 90^{\circ}$. - Trap A confuses percent with degrees. - Trap D is for a $50\%$ sector. Quick sanity: $25\%$ is one-quarter of the circle, and $90^{\circ}$ is one-quarter of $360^{\circ}$ ✓.
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