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http://i2.photobucket.com/albums/y48/xxkrystinaxx9/7_17p.gif

In the figure above, both circles have their centers at point O, and point C lies on segment OD. If OC = 4 and CD =2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

A 1/2
B 2/3
C 4/9
D 1/4
E 3/4

2007-10-10 05:20:46 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

The diagram doesn't match the problem.

2007-10-10 05:26:48 · answer #1 · answered by Stop Sine 3 · 0 0

You need to fix the links for your two problems. You have them swapped. So, going from the diagram you have linked in your other question...

The radius of the small circle is 4, and the radius of the big circle is 4+2=6. C = 2*pi*r, so find the circumference of each and write it as a ratio (the 2pi will cancel out from the top and bottom).

2007-10-10 05:27:58 · answer #2 · answered by Anonymous · 0 1

one radius = 4
the other = 6 (being 4 +2)

C = 2πr
So the outer circle is 1.5 times larger (6/4)
so 1:1.5

ANS: B 2/3

2007-10-10 05:35:56 · answer #3 · answered by David F 5 · 2 0

2/3 since smaller circle has 8pi as circumference and bigger has 12pi.

2007-10-10 05:32:04 · answer #4 · answered by songlover 1 · 2 0

Once again, your picture does not match your problem.

2007-10-10 05:32:45 · answer #5 · answered by ironduke8159 7 · 0 1

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