In the figure, the visible gray area within the larger circle is equal to 8 times the area of the white circular region. What is the ratio of the radius of the small circle to the radius of the large circle? Express your answer as a common fraction.
x = white area
larger circle area = 8x + x = 9 x
small circle area = pi r12 = x
Larger circle = pi r22 = 9x = 9 pi r1 2
pi r12 / 9 pi r12 = 1/ 9
