* DS question need help: Circle Problem.

[littlemrsunshine]

In the figure, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, D is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle?
(1) AB = 3 and BC =2
(2) CD =1 and DE = 4

This question also has a graph with it and in the graph, the five points A, B, C, D, E are drawn from left to right.
Someone says that, "figures may not be drawn to scale, B may not be correct. Imagine a situation when small circle is so small that point D actually lies before C. In this case, the diameter of the large circle will be 8, therefore the diameter of small circle will be 8-(DC+CE), or 3. If on the other hand, point D lies after point C on the line, the diameter of the small circle will be 6 as mentioned in the posts above. "
So the problem is, since in the graph point D lies after point C, whether we should take it as given or accept the alternative possibility(D lies before point C).
Please help me with this question.

[rajkapoor]

I believe it should be relevant since they have specifically given the sequence of how the points are laid out in number line .....


I think the question, keeping the assumption you bring forth , would be:

[In the above figure] - deleted ,

Points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, D is on the smaller circle, and E is on the larger circle. Is difference of two circles equal to 16pi
(1) AB = 3 and CD =1
(2) BC = 2 and DE = 4

try it out
and see the difference / here you can move around C and D

[Ben Ku]

Please cite the source (author) of this problem. We cannot reply unless a source is cited (and, if no source is cited, we will have to delete the post!). Thanks.