SAT Math Multiple Choice Question 632: Answer and Explanation

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Question: 632

2. Images

In the figure above, points P, Q, R, S, and T lie on the same line, and R is the center of the large circle. If the three smaller circles are congruent and the radius of the large circle is 6, what is the radius of one of the smaller circles?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Correct Answer: B

Explanation:

B

Special Topics (circles) EASY

images

Marking up the diagram with the given information, as shown, shows that three of the smaller radii make up one larger radius. Therefore, the radius of each small circle is 6/3 = 2.

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