GeminiHeat wrote:
Attachment:
5674.jpg
In the figure above, point O lies at the center of both circles. If the length of OP is 6 and the length of PQ is 2, what is the ratio of the area of the smaller circle to the area of the larger circle?
(A) 3/8
(B) 7/16
(C) 1/2
(D) 9/16
(E) 5/8
Ratio of the areas of 2 circles is the Ratio of their radii\(\frac{A_1}{A_2} = (\frac{r_1}{r_2})^2\)
Here, \(r_1 = OP = 6\) and \(r_2 = OQ = OP + PQ = 6 + 2 = 8\)
Therefore, \(\frac{A_1}{A_2} = (\frac{6}{8})^2 = (\frac{3}{4})^2 = \frac{9}{16}\)
Hence, option D