Factorial
Create a Python function that returns the factorial of the specified integer. The function should use a loop to compute the product.
Plot Sin
Create a Python function that uses turtle graphics to plot the function f(x) = 100 sin(x / 10) in the domain − w / 2 < x < w / 2, where w and h are the width and height of the canvas. The functions window_height and window_width in the turtle module can be used to get the dimensions of the window.
Archimedes Approximation of pi
Create a Python function that returns an approximation of pi using Archimedes’s algorithm given the number of sides of the polygon to approximate a circle with. The Archimedes’s algorithm computes the circumference of a regular polygon that approximates a circle and computes pi using the equation:
circumference = 2 · pi · radius