Practice free →
HomeGRE › Quantitative Reasoning › ![](https://qallery.app/diagrams/v2_gre_data_1/i…

![](https://qallery.app/diagrams/v2_gre_data_1/img-4.jpeg) The circle graph above shows U.S. production of photographic equipment and supplies in 1971, with the largest sector, **Sensitized Goods**, representing $47\%$ of total production. What is the **measure of the central angle** of the Sensitized Goods sector, to the nearest degree?

A$47^{\circ}$
B$90^{\circ}$
C$169^{\circ}$
D$180^{\circ}$
Answer & Solution
Correct answer: C. $169^{\circ}$
In a circle graph, each sector's central angle is **proportional to its percent of the whole**: an angle of $360^{\circ}$ corresponds to $100\%$. So the angle for Sensitized Goods is: $0.47 \times 360^{\circ} = 169.2^{\circ} \approx 169^{\circ}$. - Trap A ($47^{\circ}$) confuses *percent* with *degrees* directly. - Trap B ($90^{\circ}$) treats every sector as a quarter circle. - Trap D ($180^{\circ}$) would require the sector to be exactly half — but $47\%$ is just under half. Visual sanity check on the figure: the Sensitized Goods sector clearly spans just less than half the circle, consistent with an angle of about $169^{\circ}$.
Solve this in the app — GRE practice & 24k+ MCQs →
Related questions