M E N U DIRECTIONS 1. USEFUL FORMULAS 2. THE CIRCLE (3 VARIATIONS) 3. THE SPHERE (2 VARIATIONS) 4. THE SQUARE (2 VARIATIONS) 5. THE CUBE (2 VARIATIONS) 6. THE RECTANGLE 7. THE AIRPLANE 8. THE SLIDING LADDER 9. MAKING SHADOWS 10. THE CONICAL TANK 11. THE CONICAL PILE 12. FLYING A KITE 13. REVOLVING SEARCHLIGHT 14. TRAVELING CARS (2 VARIATIONS) 15. MORE SHADOWS 16. THE BASEBALL FIELD 17. THE CYLINDRICAL TANK 18. EQUATION ONE (2 VARIATIONS) 19. EQUATION TWO (2 VARIATIONS) 20. EQUATION THREE (2 VARIATIONS) 21. EQUATION FOUR (2 VARIATIONS) 22. EQUATION FIVE (2 VARIATIONS) 23. EQUATION SIX (2 VARIATIONS) 24. EQUATION SEVEN 25. THE REVOLVING BEACON 26. THE ISOSCELES TROUGH 27. THE SPACE SHUTTLE 28. GONE FISHING • 29. THE CLOCK 30. THE TRIANGLE #1 31. THE TRIANGLE #2 32. THE SNOWBALL 33. THE OTHER AIRPLANE 34. YET ANOTHER SHADOW 35. THE BASKETBALL SHADOW 36. MAKING COFFEE

THE CLOCK PROBLEM #1 The minute hand of a certain clock is 8.5 inches long. (A) Starting from the moment that the hand is pointing straight up, how fast, in in2/min is the area of the sector that is swept out by the hand increasing when it reaches the 5 ? (B) How many degrees has the hand traversed since it was straight up?