How do I find the area of a binary image?

Hi, I need to find the area of this image (around the outer edge). Anyone got an idea? Thanks!!!!!

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Image Analyst
Image Analyst am 2 Jul. 2015

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To find the actual boundary, invert, fill, and sum
binaryImage = imfill(~binaryImage, 'holes');
numPixels = sum(binaryImage(:));
If you want a smooth boundary, you need to use activecontour(), like in my attached demo.

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