| In the figure at right, the larger circles have radius 8. These circles are tangent to each other, the smaller cicles, and the sides of the rectangle. The smaller circles are also tangent to the rectangle. What is the area inside the rectangle but outside the circles? |  |
 | 2. XT = 7, YT = 5, TS = 4. What is the ratio of the area of triangle TXY to the area of triangle ZTS? |
| 3. The sides of an angle are tangent to a circle. If the major arc measures 100 degrees more than the minor arc, what is the measure of the angle? | |
| 4. SW is the radical axis of circles A and C. Circles W and S are orthogonal to both of these circles. (a) Explain why it must be the case that the center W must lie on the radical axis for circle W to be orthogonal to both sides. (b) Suppose V is chosen to be the center of an inversion. Draw the images of the four circles; label the inverted points of intersection with primes (X', B', etc.) Explain your drawing. |  |
| 5. Suppose the centers of three circles are not collinear. Find a circle orthogonal to all three circles. | |
| Coxeter p. 119 #1,2 |
