GMAT Data Sufficiency Question 46: Circles and triangles

 
Try the following GMAT data sufficiency question that tests your understanding of finding lengths of line segments in a circle.

Question 46:

In the semicircle shown below with center $O$, the length of $OA$ is $8$. What is the length of line segment $AB$ ?

1. (1) The area of the semicircle is $200 \pi$.
2. (2) $OC=16$ and $CD=12$.

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.