![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 23.06.2019 06:40, 21hendlill
![\text{i was eating cookies and had some thoughts. if i wanted to cut out exactly }](/tex.php?f=\text{i was eating cookies and had some thoughts. if i wanted to cut out exactly })
of the cookie to share with someone, how far from one side would i have to make a straight cut to get that exact amount? how far would i have to cut if i wanted to cut off![\frac{1}{n}](/tex.php?f= \frac{1}{n} )
![\text{ of the cookie? }](/tex.php?f=\text{ of the cookie? })
![\text{basically, the question is, find the value of }a\text{ given only n, and r}](/tex.php?f=\text{basically, the question is, find the value of }a\text{ given only n, and r})
![\text{one way of finding this, is by finding the area of the shaded reigon, q in terms of}](/tex.php?f=\text{one way of finding this, is by finding the area of the shaded reigon, q in terms of})
![\text{r, a, and b, and equating it to the area of the fraction of the cookie then solving for a.}](/tex.php?f=\text{r, a, and b, and equating it to the area of the fraction of the cookie then solving for a.})
![\text{in math, this means solving } \frac{1}{n}\pi r^2=q \text{ for }f(r, n)=a.](/tex.php?f=\text{in math, this means solving } \frac{1}{n}\pi r^2=q \text{ for }f(r, n)=a.)
![\text{from the diagram, we can see that }r=a+b](/tex.php?f=\text{from the diagram, we can see that }r=a+b)
![\text{eventually, by 2 different means, i found 2 equations that, if solved, would give the}](/tex.php?f=\text{eventually, by 2 different means, i found 2 equations that, if solved, would give the})
![\text{ relationship between r, n, and a.}](/tex.php?f=\text{ relationship between r, n, and a.})
![\text{they are as follows: }](/tex.php?f=\text{they are as follows: })
![\text{these 2 equations are equivalent, but annoying to solve.}](/tex.php?f=\text{these 2 equations are equivalent, but annoying to solve.})
![\text{to claim these points, solve for a in terms of r and n, showing all work.}](/tex.php?f=\text{to claim these points, solve for a in terms of r and n, showing all work.})
![\text{i would like an analytic solution if possible.}[\tex][tex]\text{all incorrect, spam, or no-work solutions will be reported.}](/tex.php?f=\text{i would like an analytic solution if possible.}[\tex][tex]\text{all incorrect, spam, or no-work solutions will be reported.})
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[tex]\text{i was eating cookies and had some thoughts. if i wanted to cut out exactly }[/tex][tex] \...
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