Navigating Chicago: Transforming Road System Coordinates

1. Section 5.1 Polar Coordinates

4. Plot Polar Coordinates

32. Converting from Rectangular to Polar

33. Example 1

34. Example 2

37. Transforming an equation from Rectangular to Polar Form

38. Polar Coordinates – Application • In Chicago, the road system is set up like a Cartesian plane, where streets are indicated by the number of blocks they are from Madison Street and State Street

39. Polar Coordinates – Application • In Chicago, the road system is set up like a Cartesian plane, where streets are indicated by the number of blocks they are from Madison Street and State Street • For example, Wrigley Field in Chicago is located at 1060 West Addison, which is 10 blocks west of State Street and 36 blocks north of Madison Street

40. Polar Coordinates – Application • Treat the intersection of Madison Street and State Street as the origin of a coordinate system, with East being the positive x-axis

41. What are the rectangularcoordinates of Wrigley Field?

42. What are the rectangularcoordinates of Wrigley Field? 36 blocks North 10 blocks West

43. What are the rectangularcoordinates of Wrigley Field? 36 blocks North Wrigley Field Rectangular Coordinates(-10, 36) 10 blocks West

44. Polar Coordinates - Application • Transform the rectangular coordinates to polar coordinates