The diagram shows five equal semicircles and the lengths of some line segments. What is the radius of the semicircles?
A. 12 B. 16 C. 18 D. 22 E. 28
C
Let the radius of each semicircle be r. From the diagram we can see that 2r +12+2r +12+2r = 22 + 2r + 16 + 2r + 22 and hence 6r + 24 = 4r + 60. Therefore 2r + 24 = 60 and so 2r = 36 and hence r = 18.
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