Thursday, July 16, 2009

Finding area of irregular figure on a grid



I was reading Ian Stewart's book and came across this interesting result. Where you can find the area of any such bounded picture just by counting the number of (B) boundary dots and (I) inside dots. The relation is 1/2*B+I-1. The distance between the adjacent dots is 1 unit.

So in this case there are 21 boundary dots. 5 inside dots. Therefore area is 1/2*21-5+1 = 7.5

2 Comments:

Anonymous Anonymous said...

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8:45 PM  
Blogger Shesencrypted said...

Hi Sumant, I hope you don't mind, but I referenced you and your blog in one of my articles. I hope you like it! Go to http://onlineundergradmath.com/ you are mentioned in my article "Why blogging helps." By the way, keep up the good work!

9:55 AM  

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