We will write value$-$returning methods to handle calculations for various shapes.

Here is an online geometry calculator: Calculator SoupLinks to an external site.

I have provided a test program named shapes.py with a main$()$ method that contains the test code.

Your functions MUST pass the test code as written. This means you CANNOT change the main$()$ method.

Step $1$

Copy the shapes.py code below.

You will update this code with $4$ function definitions

WRITE ONE FUNCTION AT A TIME, as described in the steps below

Test that function by uncommenting the function call in main$().$ What does 'uncommenting' mean? You will remove the $\text{'}$#$\text{'}$ at the beginning of the line. This now allows Python to execute that line of code.

Update the header comment with YOUR name and date you did the work

ALL functions must have a comment at top $($like in Notes on Functions, Variable Scope, and Coding Style $)$

Step $2$

Write two functions for the rhombus shape.

You need to figure out the required number of formal arguments.

Hint: look at the function calls in code below to see how many actual arguments we pass to the functions $($I have put function calls in bold$).$

calculate$\_$rhombus$\_$area $-$ returns the area of a rhombus

calculate$\_$rhombus$\_$perimeter $-$ returns the perimeter of a rhombus

Write and test ONE function before moving onto the next function.

Step $3$

Write two function definitions for the stadium shape.

You need to figure out the required number of formal arguments.

Hint: look at the function calls in code below to see how many actual arguments we pass to the functions $($I have put function calls in bold$).$

calculate$\_$stadium$\_$area $-$ returns the area of a stadium

calculate$\_$stadium$\_$perimeter $-$ returns the perimeter of a stadium

Write and test ONE function before moving onto the next function.

Note: the code provided has imported the math module

Step $4($summary of requirements$)$

Remember you MUST use the following shapes.py program

Note: the code that calls your functions in main$()$ is commented out using a $\text{'}$#$\text{'}$ as it has not been defined yet

main$()$ is where we test the code you write

When you write the function definition, uncomment the function call in main to test

Write and test ONE function at a time. You will end up writing FOUR functions.

Update the header comments with your name and date

Add sample output at the end of shapes.py showing what happens when you run your program.

You make NO changes to main$()$ as it is the "tester" for your functions $($except for uncommenting the function calls$)$

Here is required code you will update:

# File: shapes.py

# This program contains a user$-$defined functions for calculations related to

# shapes stadium and rhombus

# test code is found in in main$()$

# Written by: C$.$ Conner

# Edited by I. Walimuni

# Modified by: YOUR NAME HERE

# Modified Date: XX$/$XX$/$XXX

import math

#### RHOMBUS FUNCTIONS HERE ####

#### STADIUM FUNCTIONS HERE####

# TEST

def main$()$:

# diagonal test data for rhombus

length$\_$p $=20$

length$\_$q $=10$

# test data for all shapes in stadium

length $=50$

width $=25$

radius $=15$

# TEST rhombus functions

print $("$rhombus area with", length$\_$p$,$ length$\_$q$,"==",100\mathrm{.}0)$

# print $("$Test Result: $",$ calculate$\_$rhombus$\_$area$($length$\_$p$,$ length$\_$q$))$

print$()$

print $("$rhombus perimeter args", length, $"==",200)$

# print $("$Test Result:", calculate$\_$rhombus$\_$perimeter$($length$))$

print$()$

#TEST stadium functions

print $("$stadium area with", radius, length, $"==",2206\mathrm{.}858347057703)$

# print $("$Test Result:", calculate$\_$stadium$\_$area$($radius$,$ length$))$

print$()$

print $("$stadium perimeter args", radius, length, $"==",194\mathrm{.}2477796076938)$

# print $("$Test Result: $",$ calculate$\_$stadium$\_$perimeter$($radius$,$ length$))$

if $\_\_$name$\_\_=="\_\_$main$\_\_"$: # Calling main like a Python app

main$()$

# Sample Output $($INSERT YOUR PROGRAM'S OUTPUT BELOW$)$:

$\text{'}\text{'}\text{'}$

$\text{'}\text{'}\text{'}$

Rhombus Shape

A rhombusLinks to an external site. is a quadrilateral with opposite sides parallel and all sides equal length. A rhombus whose angles are all right angles is called a square. A rhombus $($or diamond$)$ is a parallelogram with all $4$ sides equal length.

rhombus with length of side $\text{'}$a$\text{'},$ p and q diagonal lengths

a $=$ length of side

p and q $=$ diagonal lengths

A $=$ area

P $=$ perimeter

Perimeter of a rhombus

P $=4$a

Area of a Rhombus

A $=$ pq$/2$

Stadium Shape

A geometric stadium shape is a circleLinks to an external site. of radius r that has been cut in half through the center and the $2$ ends are then separated by a rectangleLinks to an external site. of height r and width $($or side length$)$ of a$.$ Calculations are essentially a combination of calculations for a combined circle and rectangle.

stadium with length of side as $\text{'}$a$\text{'}$ and $\text{'}$r$\text{'}$ radiu

r $=$ radius

a $=$ length side a

A $=$ area

P $=$ perimeter

$\backslash$pi $=$ pi

Area of a stadium:

A $=\backslash$pi r$2+2*$ r $*$ a

Perimeter of a stadium:

P $=2*(\backslash$pi r $+$ a$)$

Sample Output

rhombus area with $2010==100\mathrm{.}0$

Test Result is: $100\mathrm{.}0$

rhombus perimeter args $50==$