Description:

Write a function in python to calculate the perimeter of a rectangle, circle, and various types of triangles (You may also choose to break each of these calculations into separate functions at your discretion). First, have the user enter what they want to calculate - perimeter of rectangle, triangle, equilateral triangle, right-angled triangle or circle.

Based on their response (hint this is an if statement) ask them to enter the correct number of values for the equation. Calculate the answer and print it out in a nice format.

Specifications:

The formulas for each calculation is as follows:

perimeter of rectangle: 2 * (a + b)

perimeter of general triangle: a + b + c

perimeter of equilateral triangle: 3 * a

perimeter of right-angled triangle: width + height + sqrt(width**2 + height**2)

perimeter of circle: 2 * pi * r

Include appropriate error handling and documentation for your function(s).