Point C is the center of the circle above. What fraction of the area of the circle is the area of the shaded region?
Correct answer: C. 5/18
- A. 2/18
- B. 3/18
- C. 5/18
- D. 7/18
Explanation
The correct answer is 5 /18. There are 360° in a circle, and it is shown that the central angle of the shaded region is 100°. Therefore, the area of the shaded region can be represented as a fraction of the area of the entire circle, 100 / 360, which can be reduced to 5 /18 . Either 5/18, .277, or .288 can be gridded as the correct answer.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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