I believe that the figure should look as shown below:
Zach.J.Dragone wrote:What is the area of circle passing points A, B & C (in the given figure), if the angle ABC is 60?
(1) Angle AOC is 120.
(2) OA is 6 units.
E
Statements combined:
It is possible to draw a circle through ANY 3 POINTS.
Draw a circle through points A, O and C:
In the blue circle above, any inscribed angle that intercepts the blue circle at points A and C will have a degree measurement of 120.
In the figure above, ∠AO�C and ∠AO₂C each have a degree measurement of 120.
Thus, while it is POSSIBLE that O is the center of the circle, it is also possible that O is NOT the center of the circle.
If O is the center, then OA = r = 6, with the result that the area = 36Ï€.
If O is NOT the center, then the radius and the area cannot be determined.
INSUFFICIENT.
The correct answer is
E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
