Bunuel wrote:
ASB is a quarter circle. PQRS is a rectangle with sides PQ = 8 and PS = 6. What is the length of the arc AQB ?
A. 5π
B. 10π
C. 25
D. 14
E. 28
Attachment:
2016-05-14_1454.png
As chetan2u pointed out, the correct answer must be in terms of pi. So, we can ELIMINATE C, D, and E
At this point we might remember an important rule:
Diagrams in problem solving questions are DRAWN TO SCALE unless stated otherwise. So, we can use this fact to solve the question by simply "
eyeballing" the diagram.
We know that PQ has length 8
How does the length of the arc AQB compare with the length of line segment PQ?
I'd say, the arc is ABOUT twice as long as the line segment.
So, the length of the arc AQB is APPROXIMATELY 16
Now check the two remaining answer choices:
A. 5π ≈ 15.something (pretty close to our approximation!)
B. 10π = 31.something. Too far away from our approximation.
Answer:
Here's a video on the assumptions we can make about diagrams on the GMAT: