Problem of the Week: 2012-05-01  

Due Tuesday, May 1 at 5:00 pm

(The last POTW of the semester).

In the figure below, circle K has diameter AB, circle L is tangent to circle K and to AB at the midpoint of the diameter, and circle M is tangent to circle K, to circle L, and to AB.  Find the ratio of the area of circle K to the area of circle M.

  

Submit your answers to the Math/Stat Office, Room 107, Adel Mathematics Building. If your instructor is giving you extra credit for doing POTW, please indicate the instructor's name and the class. Please put the due date (e.g. 2012-01-02 for January 2) on your submission. Contact Jim.Swift@nau.edu with questions.

Winning solutions and a summary of scores will be posted on the POTW bulletin board. This bulletin board is located near the bottom of the big stairway joining the first and second floor of the Adel Math Building.