User:TheTallOne/TeX

This was my first go at using TeX and this went towards my Maths GCSE.

$$ SD = \sqrt{\frac {\Sigma\ \big( x-\overline{x}\ \big)^2}{n}} $$

$$ StandardDeviation = \sqrt{\frac {\Sigma\ \big( x-\overline{x}\ \big)^2}{n}} $$

And this is my second go...es

$$ A = \frac{1}{2} bh \times n $$

$$ A = \frac{1}{2} \times \Bigg( \frac{1000}{n} \Bigg) hn $$

$$ A = \frac{1}{2} $$

$$ A = \Bigg( \frac{1000}{2n} \Bigg) \times \frac{1000}{\left[ 2n\tan \left( \frac {360}{2n} \right) \right]} $$

$$ b = \frac{p}{n} $$

$$ x = \frac {360}{2n} $$

$$ O = \frac{p}{2n} $$

$$ \tan x = \frac{O}{A} $$

$$ \tan \frac {360}{2n} = \frac{\frac{p}{2n}}{A} $$

$$ A \tan \Bigg( \frac{360}{2n} \Bigg) = \frac{p}{2n} $$

$$ A = \frac{p}{2n} \times \frac {1}{\left[ \tan \left( \frac {360}{2n} \right) \right]} $$

$$ A = \frac{p}{\left[ 2n\tan \left( \frac {360}{2n} \right) \right]} $$

$$ h = \frac{p}{\left[ 2n\tan \left( \frac {360}{2n} \right) \right]} $$

$$ A = \frac{1}{2} \times \frac{p}{n} \times \frac{p}{\left[ 2n \tan \left( \frac {360}{2n} \right) \right]} \times n $$

$$ A = \frac{p^2}{4n \tan \left( \frac{180}{n} \right) }$$

$$ p = 2 \pi r\, $$

$$ r = \frac {p}{2 \pi} \, $$

$$ A = \pi r^2 \, $$

$$ A = \pi \times \left( \frac {p}{2 \pi} \right)^2 $$

$$ A = \pi \times \left( \frac {p^2}{4 \pi^2} \right)$$

$$ A = \frac {p^2}{4 \pi} $$

$$ \frac{p^2}{4n \tan \left( \frac{180}{n} \right) } < \frac {p^2}{4 \pi} $$

$$ n \tan \left( \frac{180}{n} \right) < \pi $$