Could you help me with this math question please?

Pn0yS0ld13r
Sun, 25 May 2008 16:09:54 +0000

I got E also.

The length of arc is s = (theta)(r)

length of smaller arc:
6 = (thata)(r)
therefore r = 6/theta

length of bigger arc:
x = (theta)(r+3)
x = theta[(6/theta)+3] substitute 6/theta for r
x = 3(theta+2)

Substitute 6/theta for r in (6r+18)/r (choice E)
Which gives the expression: (6*(6/theta)+18)/(6/theta) = 3(theta+2) = x
Therefore the answer is E.