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SAT数学每日一题系列(8)

时间:2010-12-24点击:

Read the following SAT test question, then click on a button to select your answer.

MATH GRAPHIC

In the figure above, inscribed triangle ABC is equilateral. If the radius of the circle is r, then the length of arc AXB is

  1. 2 pi symbol R over 3
  2. 4 pi symbol R over 3
  3. 3 pi symbol R over 2
  4. pi symbol R squared over 3
  5. 2 pi symbol R squared over 3

 

Correct Answer: A

Here's Why:


An equilateral triangle has three equal sides, so the lengths of the three arcs must be equal, and thus each arc is  of the circumference of the circle. The circumference of the circle is 2r, so the length of arc AXB is1 over 3 of 2pi symbolr, or 2 pi symbol R over 3.

Difficulty: Medium

Question Type: Standard Multiple Choice

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