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  3. Compare Quantity A and Quantity B, using additional information centered above t

Compare Quantity A and Quantity B, using additional information centered above t

游客2024-01-12  33
问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question. [br]
选项
答案 B
解析 Since the area of the circle is 25π, it follows that the radius of the circle is 5 and the diameter is 10. Line segment RT is a diameter of the circle if and only if angle RST is a right angle. Since you are given that the measure of angle RST is greater than 90°, it follows that angle RST is not a right angle and that line segment RT is a chord but not a diameter. Therefore the length of line segment RT is less than 10, and the correct answer is Choice B.
This explanation uses the following strategy.
Strategy 8: Search for a Mathematical Relationship
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