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Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
admin
2015-03-24
29
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.
The radius of circle A is 12 greater than the radius of circle B.
选项
答案
A
解析
Since the radius of circle A is 12 greater than the radius of circle B, if the radius of circle B is r, then the radius of circle A is r + 12. The circumference of circle A minus the circumference of circle Bis 2π(r+ 12)-2πr, which simplifies to 24π. Since π>3, it follows that 24π> 24(3); that is, 24π> 72. Since Quantity B is 72, the correct answer is Choice A.
This explanation uses the following strategies.
Strategy 8: Search for a Mathematical Relationship
Strategy 9: Estimate
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