Problem Definition Write a Python program that calculates the perimeter and area of multiple simple geometrical shapes based on the user's selection. Let the program handle the perimeter and area calculations for circle, rectangle and parallelogram shapes. The program should display a menu of the three shapes, and then allow the user to select one of the options. Accordingly, the program would request from the user to enter the required parameters of the corresponding geometrical shape in floating- point form (e.g., radius of a circle, or the width and length of a rectangle). When you finish a shape prompt the user to see if there are more shapes to process. The program should: interact with the user in a friendly way using a menu listing the different shapes (C: Circle, R: Rectangle, P: Parallelogram). • display an error message for invalid shape options for a parallelogram, keep asking the user until a valid angle (within 0 and 180 degrees) is entered. compute the perimeter and the area for the selected shape using the following table. Circle Rectangle Parallelogram Parameters Radius r Width w Sides Sl and S2 Length h Angle a Perimeter 2 ar 2(w + h) 2(S1 + S2) 0 < a St/2: (SI *S2)sina /2 < as n: (SI *S2)sin(n-a) Area w.h for output, display the values for perimeters using one decimal place and the values for the areas using 3 decimal places as shown in the sample run. Figures 1(a) – 1(f) illustrate sample runs of the program. ****** Select one of the following geometrical shapes: C: circle. R: Rectangle. P: parallelogram. Select one of the following geometrical shapes: C: circle. R: Rectangle. P: parallelogram. Enter your choice (C, R or P): c ************s Enter the radius of the Circle: 7 Enter your choice (C, R or P): t ERROR> Invalid choice: 't' Enter another shap: (Y/N)? y Shape Perimeter Area Circle 44.0 153.938 Enter another shape (Y/N)? n Figurel (a): Invalid choice Figurel (b): Circle choice Select one of the following geometrical shapes: C: circle. R: Rectangle. P: parallelogram. Select one of the following geometrical shapes: C: circle. R: Rectangle. P: parallelogram. ... ... Enter your choice (C,R or P): P Enter your choice (C, R or P): r Enter side1 of the parallelogram: 6 Enter the length of the rectangle: 5.5 Enter side2 of the parallelogram: 7 Enter the width of the rectangle: 6.25 Enter the angle between the sides (in degrees): 60 Shape Perimeter Area Shape Perimeter Area Rectangle 23.5 34.375 Parallelogram 26.0 36.373 Enter another shape (Y/N)? n Enter another shape (Y/N)? N Figurel (d): Parallelogram choice, angle:60 Figurel (c): Rectangle choice *****. Select one of the following geometrical shapes: C: circle. R: Rectangle. P: parallelogram. Select one of the following geometrical shapes: C: circle. R: Rectangle. P: parallelogram. 2... Enter your choice (c, R or P): P Enter your choice (C, R or P): p Enter sidel of the parallelogram: 3 Enter sidel of the parallelogram: 3 Enter side2 of the parallelogram: 6 Enter side2 of the parallelogram: 6 Enter the angle between the sides (in degrees): -1 ERROR> angle value: -1.0 is outside range (0.1801. Enter the angle between the sides (in degrees): 60 Enter the angle between the sides (in degrees): 100 Shape Perimeter Area .. Shape Perimeter Area Parallelogram 18.e 15.s88 ..***.... Parallelogram 18.0 17.727 Enter another shape (Y/N)?n Enter another shape (Y/N)? Y Figurel (f): Parallelogram choice, angle:-1; keep asking the user until valid angle Figurel (e): Parallelogram choice, angle:100