MARSHALL, MONTGOMERY, PIKE, RANDOLPH, RUSSELL, ST. Prince of Wales, but excluding all of the Aleutian Islands.Īll islands in the Bering Sea lying west of meridian 168☀0' west of Greenwich, excluding all of the Aleutian Islands, King Island, and Little Diomede Island.ĪLASKA ZONE 10 FIPSZONE:5010 UTM ZONES: 1 & 4Īll of the Aleutian Island group lying west and south of Unimak Pass.ĪLABAMA EAST ZONE FIPSZONE: 0101 ADSZONE: 3101 UTM ZONE: 16īARBOUR, BULLOCK, CALHOUN, CHAMBERS, CHEROKEE, CLAY, CLEBURNE, COFFEE, COOSA, COVINGTONĬRENSHAW, DALE, DE KALB, ELMORE, ETOWAH, GENEVA, HENRY, HOUSTON, JACKSON, LEE, MACON, MADISON That part of Alaska lying between meridians 164☀0' and 168☀0' west of Greenwich and in addition King Island, Little Diomede Island, and all of Cape That part of Alaska lying between meridians 160☀0' and 164☀0' west of Greenwich and in addition all of Unimak Island, but excluding Andronica Island That part of Alaska lying between meridians 156☀0' and 160☀0' west of Greenwich and in addition Andronica Island and all of Nagai Island.ĪLASKA ZONE 7 FIPSZONE:5007 UTM ZONES: 3 & 4 That part of Alaska lying between meridians 152☀0' and 156☀0' west of Greenwich and in addition Marmot Island, all of Afognak Island, all of the Barren Kenai Peninsula, but excluding Marmot Island, all of Afognak Island, all of the Barren Islands, all of Kalgin Island, all of Perry Island, and all of Esther Island. That part of Alaska lying between meridians 148☀0' and 152☀0' west of Greenwich and in addition all of Latouche Island, all of Evans Island, and all of the That part of Alaska lying between meridians 144☀0' and 148☀0' west of Greenwich and in addition all of Perry Island and all of Esther Island, but excludingĪll of Latouche Island, all of Evans Island, and all of the Kenai Peninsula.ĪLASKA ZONE 4 FIPSZONE:5004 UTM ZONES: 5 & 6 That part of Alaska lying between meridians 141☀0' and 144☀0' west of Greenwich. That part of Alaska lying east of meridian 141☀0' west of Greenwich. ADSZONE NUMBERS APPLY TO BOTH NAD27 AND NAD83 SYSTEMS, EXCEPT FOR MONTANA, NEBRASKA AND SOUTH CAROLINA WHICH LACK REFERENCE FOR THE NEW ZONES CREATED FOR NAD83ĪLASKA ZONE 1 FIPSZONE:5001 UTM ZONES: 8 & 9 NOTE: FIPSZONE NUMBERS ARE APPROPRIATE FOR BOTH NAD27 AND NAD83, UNLESS NOTED OTHERWISE. NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WYĭownload this County/SPC/UTM Zone Data in MS Excel State Plane Zone Map FGDC Compliant Metadata This has a spiral shape (each point moves out from the centre as the angle grows).Click on a state abbreviation below to jump to that state's data.ĪK AL AZ AR CA CO CT DE FL GA HI ID IL IN IA KS KY LA ME MD MA MI MN MS MO MT It would be good to try out some equations and look at their graphs (polar plots). So let's end by using this coordinate system. It is tempting to say that $\tan\theta = \frac^c)$!!īy using the signs of $\sin\theta$ and $\cos\theta$, you can be sure you have the angle in the correct quadrant. Now we need $\theta$ such that $x = r \cos \theta$ and $y = r \sin \theta$. Now we are trying to find $r$ and $\theta$ in terms of $x$ and $y$.
Then we choose an axis $Ox$ through the pole and call it the "polar axis". In the plane we choose a fixed point $O$, known as "the pole''.
That is in the direction $Ox$ on Cartesian axes. The polar coordinates of a point describe its position in terms of a distance from a fixed point (the origin) and an angle measured from a fixed direction which, interestingly, is not "north'' (or up on a page) but "east'' (to the right). This means of location is used in polar coordinates and bearings. The use of a distance and direction as a means of describing position is therefore far more natural than using two distances on a grid. Gives the latitude and longitude of their town! When you ask someone where their town is they often say things like "about $30$ miles north of London''. They are describing (albeit very roughly) a distance "just'' and a direction "over there'' (supported by a point or a nod of the head). When you ask a child where they left their ball they will say "just over there'' and point. For a start, you have to use negative as well as positive numbers to describe all the points on the plane and you have to create a grid (well axes) to use as a
In one sense it might seem odd that the first way we are taught to represent the position of objects in mathematics is using Cartesian coordinates when this method of location is not the most natural or the most convenient.