Data Sufficiency

In the figure above, what is the area of the circular region with center O?

1) MN is perpendicular to RS.
2) The area of triangular region OMT is 4.

The OA is E.

Please, can anyone explain why E is the correct answer? I'm confused. Thanks!

Since area = pi * r^2 we can rephrase this question as: What is the radius OM = OR = OS = ON?

1) MN is perpendicular to RS.
- This tells us MOT is a right triangle but without more info isn't going to help us find the radius
-----> INSUFFICIENT



2) The area of triangular region OMT is 4.
- Doesn't help cuz we don't know if MO is a height or OT is a base
------> INSUFFICIENT

1 & 2) Now we know MOT is a right triangle with area 4.
- area triangle = .5 * b * h
- area MOT = 4 = .5 * MO * OT
- This is about as far as we can get. We can't solve for MO.
- We can also use examples to show that we can get an area of 4 with multiple values for MO

Example 1:
MO = 8
OT = 1
area MOT = .5 * 8* 1 = 4

Example 2:
MO = 4
OT = 2
area MOT = .5 * 4 * 2 = 4

Multiple radii = multiple areas for circle ----> INSUFFICIENT

Answer: E

Can you show how you got a different answer?