January 14, 2015givingback charity math commandments
As a New Yorker, I often feel guilty for how filthy it is and how there are people who have to live on our filthy streets.
I try to give (not on the street) like a good person, but I always feel like it isn’t enough. So I did what I do everyday and attempted to solve my problems with emotionless calculations.
I’m not super religious, but the first place I look when I’m in a moral dilemma is to my religion. I vaguely remember from pre-school that one of the commandments (the extended version) instructs us to leave the corners of our fields.
Here comes the math. The area of a circle, the shape used to plow a field, is πr^2 and the formula for a square (the presumed average shape of a field) is x^2.
There are two radii in the side of a field, so the square formula becomes (2r)^2.
Now the ratio is πr^2 / (2r)^2
Distribute the square and it becomes πr^2 / 4r^2
Now the r^2 cancels leaving us with a constant!!
π / 4
What does that constant mean? Well if we were leaving the corners of our field for the poor, π / 4 is how much of our produce we would be taking home. So how much does that leave for charity?
1 - π / 4
Okay great, so I just need to give that much charity. So lets say Sally makes 60K a year after taxes, how much does she need to give to live up to the commandments?
(1 - π / 4) * $60,000 = $12,876.11
Also, I didn’t do the math, but you can probably knock ~1K off that because our government spends your tax money on social programs.