area $=\frac{\text{p}\text{e}\text{r}\text{i}\text{m}\text{e}\text{t}\text{e}\text{r}\text{a}\text{p}\text{o}\text{t}\text{h}\text{e}\text{m}}{2}$

perimeter $=nd$

apothem $=\frac{d}{2tan(\frac{180}{n})}$

where apothem is the shortest distance from the centre of the polygon to one of the polygon sides.

Using the above formulae, write two Python functions:

a$.$ Write a Python function areaPoly $(n,d),$ which given the number of corners, $n,$ in a regular

polygon and the length $d$ of one of its sides, calculate the area of the polygon. You may use some of

the trigonometric functions $-$ such as tangent function $-$ and constant pi $()$ from the math library.

b$.$ Write a Python function polySide$(n,$ area$),$ which given the number of corners, $n,$ in a regular

polygon and the polygon area, calculate the length of one of its sides.

$>>$ areaPoly $(4,10)$

$100\mathrm{.}00000000000001$