CAYLEY 2008 Problem 21

The circular window shown in the diagram has nine panes of equal area. The inner circular pane has radius 20\:cm and the same center, O, as the outer circle. The eight lines separating the outer panes are of equal length, x\:cm, and all, if extended, would pass through O. What is the value of x, to the nearest tenth?

Image

Answer Choices
A. 40.0
B. 36.6
C. 30.0
D. 20.0
E. 43.2