For a set of data:
data = {{995.703, 0.672849}, {994.229, 0.685626}, {991.774,
0.693578}, {988.34, 0.688941}, {983.93, 0.693651}, {978.549,
0.704531}, {972.203, 0.731159}, {964.898, 0.73207}, {956.64,
0.728275}, {947.438, 0.721113}, {937.301, 0.730698}, {926.239,
0.751382}, {914.263, 0.776879}, {901.384, 0.781564}, {887.616,
0.783906}, {872.972, 0.780878}, {857.467, 0.786632}, {841.115,
0.805397}, {823.934, 0.812883}, {805.939, 0.811252}, {787.149,
0.80729}, {767.582, 0.818323}, {747.257, 0.823602}, {726.195,
0.830864}, {704.416, 0.846506}, {681.943, 0.842861}, {658.796,
0.835349}, {634.999, 0.840299}, {610.575, 0.842808}, {585.549,
0.851967}, {559.945, 0.868148}, {533.788, 0.876589}, {507.105,
0.864628}, {479.921, 0.857978}, {452.264, 0.858633}, {424.16,
0.860653}, {395.637, 0.861047}, {366.724, 0.869318}, {337.45,
0.881728}, {307.842, 0.89408}, {277.93, 0.899029}, {247.744,
0.894887}, {217.314, 0.885781}, {186.669, 0.880203}, {155.84,
0.881892}, {124.857, 0.886459}, {93.7509, 0.890874}, {62.5523,
0.891707}, {31.2919, 0.892137}, {0.000686499, 0.891543}, {-31.2906,
0.88872}, {-62.5509, 0.883872}, {-93.7495, 0.878692}, {-124.856,
0.8776}, {-155.839, 0.876955}, {-186.668, 0.87048}, {-217.313,
0.859657}, {-247.743, 0.84553}, {-277.929, 0.824158}, {-307.84,
0.789144}, {-337.448, 0.736637}, {-366.723, 0.666945}, {-395.636,
0.579511}, {-424.158, 0.476506}, {-452.262, 0.369389}, {-479.92,
0.279829}, {-507.104, 0.225048}, {-533.787, 0.206534}, {-559.944,
0.204395}, {-585.548, 0.193327}, {-610.574, 0.155006}, {-634.998,
0.0983544}, {-658.795, 0.0639628}, {-681.942, 0.0481704}, {-704.416,
0.00999812}, {-726.194, -0.0540769}, {-747.256, -0.119798}, \
{-767.581, -0.15998}, {-787.148, -0.185997}, {-805.938, -0.21905}, \
{-823.933, -0.22143}, {-841.115, -0.234187}, {-857.466, -0.264621}, \
{-872.972, -0.272263}, {-887.616, -0.288497}, {-901.384, -0.306587}, \
{-914.262, -0.327461}, {-926.238, -0.352601}, {-937.3, -0.369635}, \
{-947.437, -0.385838}, {-956.639, -0.390443}, {-964.897, -0.421895}, \
{-972.203, -0.454918}, {-978.549, -0.454465}, {-983.93, -0.458914}, \
{-988.339, -0.478531}, {-991.774, -0.499764}, {-994.229, -0.512505}, \
{-995.703, -0.531943}, {-996.195, -0.536882}, {-995.703, -0.545775}, \
{-994.229, -0.572064}, {-991.774, -0.582752}, {-988.34, -0.599671}, \
{-983.93, -0.61244}, {-978.55, -0.615791}, {-972.203, -0.631241}, \
{-964.898, -0.641198}, {-956.64, -0.655771}, {-947.438, -0.671423}, \
{-937.301, -0.671268}, {-926.239, -0.681516}, {-914.263, -0.683255}, \
{-901.384, -0.700182}, {-887.616, -0.711777}, {-872.972, -0.719184}, \
{-857.467, -0.734338}, {-841.115, -0.744031}, {-823.934, -0.749785}, \
{-805.939, -0.753024}, {-787.149, -0.758666}, {-767.582, -0.77336}, \
{-747.257, -0.766347}, {-726.195, -0.760521}, {-704.417, -0.759134}, \
{-681.943, -0.770561}, {-658.796, -0.785752}, {-634.999, -0.80005}, \
{-610.575, -0.808609}, {-585.549, -0.814659}, {-559.945, -0.809641}, \
{-533.788, -0.804622}, {-507.105, -0.808619}, {-479.921, -0.814933}, \
{-452.264, -0.824676}, {-424.16, -0.83665}, {-395.637, -0.847347}, \
{-366.724, -0.851243}, {-337.45, -0.849248}, {-307.842, -0.845226}, \
{-277.93, -0.84505}, {-247.744, -0.848463}, {-217.314, -0.853465}, \
{-186.669, -0.856573}, {-155.84, -0.858592}, {-124.857, -0.859054}, \
{-93.7509, -0.862658}, {-62.5523, -0.87145}, {-31.292, -0.877667}, \
{-0.000741419, -0.881224}, {31.2905, -0.884006}, {62.5508, \
-0.884125}, {93.7495, -0.878148}, {124.856, -0.870916}, {155.839, \
-0.862404}, {186.668, -0.852149}, {217.312, -0.834875}, {247.743, \
-0.806898}, {277.929, -0.763839}, {307.84, -0.700117}, {337.448, \
-0.609422}, {366.723, -0.482247}, {395.636, -0.311266}, {424.158, \
-0.104396}, {452.262, 0.115888}, {479.92, 0.310883}, {507.104,
0.434027}, {533.787, 0.452608}, {559.944, 0.373157}, {585.548,
0.271737}, {610.574, 0.238174}, {634.998, 0.294259}, {658.795,
0.388007}, {681.942, 0.431574}, {704.416, 0.400651}, {726.194,
0.41664}, {747.256, 0.467887}, {767.581, 0.466103}, {787.148,
0.44411}, {805.938, 0.454418}, {823.933, 0.475323}, {841.115,
0.453061}, {857.466, 0.482326}, {872.972, 0.527791}, {887.616,
0.52652}, {901.384, 0.536385}, {914.262, 0.555416}, {926.238,
0.534647}, {937.3, 0.559003}, {947.437, 0.583895}, {956.639,
0.590674}, {964.897, 0.615758}, {972.203, 0.604291}, {978.549,
0.595058}, {983.93, 0.603277}, {988.339, 0.621725}, {991.774,
0.650783}, {994.229, 0.666861}, {995.703, 0.661105}, {996.195,
0.649131}, {995.703, 0.653303}, {994.229, 0.680834}, {991.774,
0.701984}, {988.34, 0.722025}, {983.93, 0.703909}, {978.55,
0.712565}, {972.203, 0.717324}, {964.898, 0.738665}, {956.64,
0.762189}, {947.438, 0.750662}, {937.301, 0.756154}, {926.239,
0.762045}, {914.263, 0.776795}, {901.384, 0.795037}, {887.616,
0.791569}, {872.973, 0.783403}, {857.467, 0.791338}, {841.115,
0.801706}, {823.934, 0.821618}, {805.939, 0.833832}, {787.149,
0.826512}, {767.582, 0.818115}, {747.257, 0.816921}, {726.195,
0.830269}, {704.417, 0.849679}, {681.943, 0.86529}, {658.796,
0.872935}, {634.999, 0.852952}, {610.575, 0.852018}, {585.549,
0.850589}, {559.945, 0.851081}, {533.789, 0.855915}, {507.105,
0.88198}, {479.921, 0.884893}, {452.264, 0.876493}, {424.16,
0.879354}, {395.637, 0.884601}, {366.725, 0.885976}, {337.45,
0.879266}, {307.842, 0.8827}};
When trying to calculate the area of the Polygon
they define using the code
Area[Polygon[data]]
I get the following error
Unable to compute the area region Polygon[...]`
But Graphics
shows the region just fine
Graphics[Polygon[data], AspectRatio->1/GoldenRatio]
Does anyone have any suggestions on how to calculate the area?
Area
quitting on the job. For exampleArea[Polygon[{{0, 0}, {1, 0}, {-1, 1}, {1, 1}, {0, 0}}]]
returns the same error. $\endgroup$