MATLAB: Area from XY coordniates

Question

Dear All,

I have a random shape with X and Y coordinates. I want to get area enclosed by it. Please help me in this.

X and Y coordniates are as below. Sorry I have to add them it as text.

x=[-1.505626541 -1.505626541 -1.505626541 -1.505626541 -1.505626541 -1.505626541 -1.505626541 -1.505626541 -0.884605315 -0.884605315 -0.884605315 -0.884605315 -1.528531029 -1.528531029 -1.528531029 -1.528531029 -1.528531029 -1.528531029 -1.528531029 -1.528531029 -1.504708619 -1.504708619 -1.504708619 -2.150038824 -2.150038824 -2.150038824 -2.150038824 -2.150038824 -2.150038824 -2.150038824 -2.150038824 -2.150038824 -2.150038824 2.048198641 2.048198641 2.048198641 2.048198641 2.048198641 2.048198641 -1.947948817 -1.947948817 -1.947948817 -1.947948817 -0.901692974 -0.901692974 -0.901692974 -0.901692974 -0.901692974 -1.557300961 -1.557300961 -1.557300961 -1.557300961 -2.064490464 -2.064490464 -2.064490464 -2.064490464 -2.064490464 -2.064490464 -2.05237961 -2.05237961 -2.05237961 -2.05237961 -2.05237961 -2.05237961 -2.05237961 -2.05237961 2.164278825 2.164278825 2.164278825 2.164278825 2.164231401 2.164231401 2.164231401 2.164231401 -1.44963527 -1.44963527 -1.44963527 -1.44963527 -1.44963527 -1.44963527 0.838259379 0.838259379 0.838259379 0.838259379 0.838259379 -0.952217755 -0.952217755 -0.952217755 -0.952217755 -0.952217755 -0.953191089 -0.953191089 -0.953191089 -0.953191089 -0.953191089 -2.060537968 -2.060537968 -2.060537968 -2.060537968 -2.060537968 -2.060537968 0.624115404 0.624115404 0.624115404 0.624115404 1.422909528 1.422909528 1.422909528 1.422909528 1.422909528 -1.429603798 -1.429603798 -1.429603798 -1.429603798 -1.429603798 -2.16645511 -2.16645511 -2.16645511 -2.16645511 -2.166435918 -2.166435918 -2.166435918 -2.166435918 2.072082175 2.072082175 2.072082175 2.072082175 2.072082175 2.072082175 2.160010562 2.160010562 2.160010562 2.160010562 2.160010562 2.160010562 -1.649438209 -1.649438209 -1.649438209 -1.649438209 -1.649438209 -1.649438209 -1.883340445 -1.883340445 -1.883340445 -1.883340445 -1.883340445 -1.883340445 2.029352665 2.029352665 2.029352665 2.029352665 2.029352665 -1.347302183 -1.347302183 -1.347302183 -1.347302183 -2.165073705 -2.165073705 -2.165073705 -2.165073705 -2.165073705 -2.165073705 -1.053427394 -1.053427394 -1.053427394 -1.053427394 -1.053427394 -1.947502494 -1.947502494 -1.947502494 -1.947502494 -1.947502494 -1.947502494 1.599737187 1.599737187 1.599737187 1.599737187 1.599737187 2.167447827 2.167447827 2.167447827 2.167447827 2.167447827 -1.841940702 -1.841940702 -1.841940702 -1.841940702 0.583874797 0.583874797 0.583874797 0.583874797 0.583874797 0.583874797 0.583874797 -1.74470142 -1.74470142 -1.74470142 -1.74470142 -1.74470142 -2.161836176 -2.161836176 -2.161836176 -2.161836176 1.382000347 1.382000347 1.382000347 1.382000347 1.382000347 -1.816156304 -1.816156304 -1.816156304 -1.816156304 -1.816156304 1.993723849 1.993723849 1.993723849 1.993723849 1.993723849 1.993723849 -1.166677131 -1.166677131 -1.166677131 -1.166677131 -1.166677131 -1.166677131 -1.166677131 -1.166677131 2.167789889 2.167789889 2.167789889 2.167789889 -2.117671203 -2.117671203 -2.117671203 -2.117671203 -2.117671203 -1.997106245 -1.997106245 -1.997106245 -1.997106245 -1.997106245 -2.166932176 -2.166932176 -2.166932176 -2.166932176 -2.166932176 -0.589020453 -0.589020453 -0.589020453 -0.589020453 -0.589020453 0.69556532 0.69556532 0.69556532 0.69556532 0.69556532 -2.093545939 -2.093545939 -2.093545939 -2.093545939 -2.093545939 -2.093545939 -2.150851251 -2.150851251 -2.150851251 -2.150851251 -2.150851251 -2.150851251 -2.129607811 -2.129607811 -2.129607811 -2.129607811 -2.129607811 0.700365302 0.700365302 0.700365302 0.700365302 0.700365302 -2.14109422 -2.14109422 -2.14109422 -2.14109422 -2.14109422 -2.14109422 -2.166785138 -2.166785138 -2.166785138 -2.166785138 -2.166785138 2.166537547 2.166537547 2.166537547 2.166537547 2.166537547 2.166537547 2.166537547 0.913905971 0.913905971 0.913905971 0.913905971 2.103257091 2.103257091 2.103257091 2.103257091 2.103257091 2.103257091 0.721338275 0.721338275 0.721338275 0.721338275 0.721338275 0.721338275 -2.16422992 -2.16422992 -2.16422992 -2.16422992 -2.16422992 -2.16422992 -2.16422992 1.976270706 1.976270706 1.976270706 1.976270706 1.976270706 2.145628841 2.145628841 2.145628841 2.145628841 2.145628841 -2.065827024 -2.065827024 -2.065827024 -2.065827024 -2.065827024 1.970678215 1.970678215 1.970678215 1.970678215 1.970678215 -2.116037613 -2.116037613 -2.116037613 -2.116037613 -2.116037613 2.029036183 2.029036183 2.029036183 2.029036183 2.029036183 2.029036183 -0.763241221 -0.763241221 -0.763241221 -0.763241221 -0.763241221 2.13975585 2.13975585 2.13975585 2.13975585 2.13975585 2.13975585 -2.001712609 -2.001712609 -2.001712609 -2.001712609 -2.001712609 1.678896594 1.678896594 1.678896594 1.678896594 1.678896594 -0.765016771 -0.765016771 -0.765016771 -0.765016771 -0.765016771 -0.765016771 -0.58789952 -0.58789952 -0.58789952 -0.58789952 -0.58789952 -0.58789952 2.123405762 2.123405762 2.123405762 2.123405762 2.123405762 -2.1280117 -2.1280117 -2.1280117 -2.1280117 -2.1280117 -1.99699656 -1.99699656 -1.99699656 -1.99699656 -1.996636016 -1.996636016 -1.996636016 -1.996636016 -1.996636016 -1.996636016 1.288375186 1.288375186 1.288375186 1.288375186 1.288375186 2.158024079 2.158024079 2.158024079 2.158024079 2.158024079 2.158024079 -2.152494727 -2.152494727 -2.152494727 -2.152494727 -2.152494727 1.278891508 1.278891508 1.278891508 1.278891508 1.278891508 2.146060056 2.146060056 2.146060056 2.146060056 2.146060056 2.146060056 2.057140404 2.057140404 2.057140404 2.057140404 2.057140404 2.149964212 2.149964212 2.149964212 2.149964212 2.119389883 2.119389883 2.119389883 2.119389883 2.119389883 0.585569291 0.585569291 0.585569291 0.585569291 0.585569291 2.074800868 2.074800868 2.074800868 2.074800868 2.074800868 2.074800868 1.975941255 1.975941255 1.975941255 1.975941255 1.975941255 1.975941255 1.726657603 1.726657603 1.726657603 1.726657603 1.726657603 -2.152538242 -2.152538242 -2.152538242 -2.152538242 -2.152538242 -1.57198413 -1.57198413 -1.57198413 -1.57198413 -1.57198413 0.819116682 0.819116682 0.819116682 0.819116682 -1.585534311 -1.585534311 -1.585534311 -1.585534311 -1.585534311 -1.585534311 1.915192679 1.915192679 1.915192679 1.915192679 1.915192679 0.671063663 0.671063663 0.671063663 0.671063663 0.671063663 0.671063663 0.839738036 0.839738036 0.839738036 0.839738036 0.839738036 0.434578111 0.434578111 0.434578111 0.434578111 1.188191957 1.188191957 1.188191957 1.188191957 1.188191957 1.778200364 1.778200364 1.778200364 1.778200364 1.778200364 0.424223397 0.424223397 0.424223397 0.424223397 0.424223397 0.424223397 1.163496586 1.163496586 1.163496586 1.163496586 1.163496586 1.163496586 0.995686988 0.995686988 0.995686988 0.995686988 0.995686988 0.995686988 -0.702646141 -0.702646141 -0.702646141 -0.702646141 1.893789309 1.893789309 1.893789309 1.893789309 1.893789309 1.893789309 -0.471790839 -0.471790839 -0.471790839 -0.471790839 -0.471790839 -0.471790839 -0.471790839 1.815881563 1.815881563 1.815881563 1.815881563 1.815881563 1.815881563 1.815881563 -1.614519199 -1.614519199 -1.614519199 -1.614519199 -1.614519199 -1.614519199 1.956586141 1.956586141 1.956586141 1.956586141 1.956586141 1.956586141 2.028111288 2.028111288 2.028111288 2.028111288 2.028111288 1.015178353 1.015178353 1.015178353 1.015178353 1.015178353 1.015178353 1.015178353 -0.445024422 -0.445024422 -0.445024422 -0.445024422 -0.445024422 -1.536199977 -1.536199977 -1.536199977 -1.536199977 -1.910173962 -1.910173962 -1.910173962 -1.910173962 -1.910173962 -1.909753148 -1.909753148 -1.909753148 -1.909753148 -1.909753148 -1.909753148 -1.909753148 -2.128277056 -2.128277056 -2.128277056 -2.128277056 -2.128277056 -2.128277056 0.45675429 0.45675429 0.45675429 0.45675429 0.45675429 0.45675429 -1.661110297 -1.661110297 -1.661110297 -1.661110297 -1.661110297 -0.87643986 -0.87643986 -0.87643986 -0.87643986 -0.87643986 -1.68528787 -1.68528787 -1.68528787 -1.68528787 -0.631864673 -0.631864673 -0.631864673 -0.631864673 -0.631864673 -0.030937741 -0.030937741 -0.030937741 -0.030937741 -0.030937741 -0.030937741 2.149744493 2.149744493 2.149744493 2.149744493 2.149744493 -0.03500231 -0.03500231 -0.03500231 -0.03500231 -0.03500231 -0.03500231 -0.03500231 -0.896261537 -0.896261537 -0.896261537 -0.896261537 -0.896261537 1.492949365 1.492949365 1.492949365 1.492949365 1.492949365 1.492949365 1.492949365 1.492949365 1.492949365 -1.337434046 -1.337434046 -1.337434046 -1.337434046 -1.337434046 1.065166273 1.065166273 1.065166273 1.065166273 1.065166273 -2.017441302 -2.017441302 -2.017441302 -2.017441302 -2.017441302 -2.017441302 -0.03726525 -0.03726525 -0.03726525 -0.03726525 -0.03726525 -0.004496185 -0.004496185 -0.004496185 -0.004496185 -0.004496185 1.915248098 1.915248098 1.915248098 1.915248098 1.915248098 -1.825007886 -1.825007886 -1.825007886 -1.825007886 -1.825007886 -0.601156832 -0.601156832 -0.601156832 -0.601156832 -1.764617846 -1.764617846 -1.764617846 -1.764617846 -1.764617846 -1.764617846 -1.484240993 -1.484240993 -1.484240993 -1.484240993 -1.484240993 -0.0046118 -0.0046118 -0.0046118 -0.0046118 -0.0046118 0.194883313 0.194883313 0.194883313 0.194883313 0.194883313 0.194883313 0.194883313 0.288616472 0.288616472 0.288616472 0.288616472 0.288616472 0.288616472 -0.034733196 -0.034733196 -0.034733196 -0.042504513 -0.042504513 -0.042504513 -0.042504513 -0.042504513 -1.57129279 -1.57129279 -1.57129279 -1.57129279 -1.57129279 -1.57129279 -2.117302235 -2.117302235 -2.117302235 -2.117302235 -2.117302235 -2.117302235 -0.048365597 -0.048365597 -0.048365597 -0.048365597 -0.048365597 -0.048365597 1.868708354 1.868708354 1.868708354 1.868708354 1.868708354 1.868708354 1.868708354 -1.10530664 -1.10530664 -1.10530664 -1.10530664 -1.10530664 1.952523873 1.952523873 1.952523873 1.952523873 2.118376804 2.118376804 2.118376804 2.118376804 2.118376804 1.13212978 1.13212978 1.13212978 1.13212978 1.13212978 1.13212978 0.030087195 0.030087195 0.030087195 0.030087195 0.030087195 0.030087195 0.030087195 -1.750752881 -1.750752881 -1.750752881 -1.750752881 -0.491354216 -0.491354216 -0.491354216 -0.491354216 -0.491354216 -0.491354216 -0.491354216 1.835662287 1.835662287 1.835662287 1.835662287 1.835662287 1.835662287 -1.409591455 -1.409591455 -1.409591455 -1.409591455 -1.409591455 -1.409591455 -0.117780182 -0.117780182 -0.117780182 -0.117780182 -0.117780182 -0.117780182 0.192407666 0.192407666 0.192407666 0.192407666 -0.463957304 -0.463957304 -0.463957304 -0.463957304 -0.209756302 -0.209756302 -0.209756302 -0.209756302 -0.209756302 -0.209756302 -0.209756302 -0.042449491 -0.042449491 -0.042449491 -0.042449491 -0.042449491 -0.042449491 1.963335848 1.963335848 1.963335848 1.963335848 1.963335848 -0.367717782 -0.367717782 -0.367717782 -0.367717782 -0.367717782 -0.367717782 -0.367717782 -0.059313791 -0.059313791 -0.059313791 -0.059313791 -0.059313791 -0.246391093 -0.246391093 -0.246391093 -0.246391093 -0.246391093 -1.041864559 -1.041864559 -1.041864559 -1.041864559 -1.041864559 -1.044691307 -1.044691307 -1.044691307 -1.044691307 -1.044691307 2.120956154 2.120956154 2.120956154 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2.076511194 2.076511194 2.076511194 2.076511194 1.743133992 1.743133992 1.743133992 1.743133992 1.743133992 -1.236472038 -1.236472038 -1.236472038 -1.236472038 -1.236472038 -1.236472038 -1.236472038 1.536996687 1.536996687 1.536996687 1.536996687 1.536996687 1.536996687 -0.204764754 -0.204764754 -0.204764754 -2.12616864 -2.12616864 -2.12616864 -2.12616864 -2.12616864 -2.12616864 1.838008215 1.838008215 1.838008215 1.838008215 1.838008215 1.439110998 1.439110998 1.439110998 1.439110998 1.439110998 2.164837357 2.164837357 2.164837357 2.164837357 2.164837357 2.164837357 2.164837357 2.164837357 1.905963525 1.905963525 1.905963525 1.905963525 -2.166291328 -2.166291328 -2.166291328 -2.166291328 -2.166291328 -2.166291328 -2.166291328 -2.166291328 -0.110007756 -0.110007756 -0.110007756 -0.110007756 -2.120035562 -2.120035562 -2.120035562 -2.120035562 -1.235730463 -1.235730463 -1.235730463 -1.235730463 0.218526748 0.218526748 0.218526748 0.218526748 1.078695987 1.078695987 1.078695987 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3.931277205 3.931277205 3.931277205 3.931277205 3.931277205 0.964178503 0.964178503 0.964178503 0.964178503 2.872434238 2.872434238 2.872434238 2.872434238 2.872434238 2.872434238 2.872434238 -1.11873881 -1.11873881 -1.11873881 -1.11873881 -1.11873881 -1.11873881 -2.892361114 -2.892361114 -2.892361114 -2.892361114 -2.892361114 -2.892361114 -2.892361114 2.784030711 2.784030711 2.784030711 2.784030711 2.780818227 2.780818227 2.780818227 2.780818227 2.780818227 2.780818227 -1.923062234 -1.923062234 -1.923062234 -1.923062234 -1.923062234 -1.923062234 -1.923062234 -1.766776079 -1.766776079 -1.766776079 -1.766776079 -1.766776079 -1.766776079 -1.766776079 -3.585042559 -3.585042559 -3.585042559 -3.585042559 -3.585042559 -3.585042559 -0.295430734 -0.295430734 -0.295430734 -0.295430734 -0.295430734 2.226130883 2.226130883 2.226130883 2.226130883 2.226130883 2.226130883 3.627019058 3.627019058 3.627019058 3.627019058 3.627019058 -0.993884265 -0.993884265 -0.993884265 -0.993884265 -0.993884265 3.637470383 3.637470383 3.637470383 3.637470383 1.348728272 1.348728272 1.348728272 1.348728272 3.52902826 3.52902826 3.52902826 3.52902826 3.084003984 3.084003984 3.084003984 3.084003984 3.084003984 2.667571033 2.667571033 2.667571033 2.667571033 2.667571033 3.501298804 3.501298804 3.501298804 3.501298804 3.501298804 -2.702901905 -2.702901905 -2.702901905 -2.702901905 -2.702901905 -2.702901905 -3.059079493 -3.059079493 -3.059079493 -3.059079493 -3.059079493 -3.059079493 -3.059079493 0.49610944 0.49610944 0.49610944 0.49610944 0.49610944 0.49610944 1.065009366 1.065009366 1.065009366 1.065009366 1.065009366 -1.04866004 -1.04866004 -1.04866004 -1.04866004 -1.04866004 -1.023782448 -1.023782448 -1.023782448 -1.023782448 -1.023782448 -1.146598239 -1.146598239 -1.146598239 -1.146598239 -1.146598239 -1.146598239 -3.059530816 -3.059530816 -3.059530816 -3.059530816 -3.059530816 -3.059530816 -3.059530816 3.696915807 3.696915807 3.696915807 3.696915807 3.696915807 -3.068931184 -3.068931184 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Answer 1

Hi Prashant, hi Walter,

I was curious and tried both: to use polyarea successfully though I needed to sort the data by angle:

xy = angle(complex(x,y));
[~,idx] = sort(xy);
V1 = polyarea(x(idx), y(idx))
V1 =
   24.1733
[~,V2] = convhull(x,y)
V2 =
   24.1826

Titus