$5\mathrm{.}5$ Lab $2$D $--$ Pizza For Everyone!

This lab will be available until January $19$th$,10$:$50$ AM EST

Mario and Luigi's Pizzeria needs a program to calculate:

the number of slices a pizza of any size can be divided into, and

the number of pizzas a customer should order so there is enough pizza for his$/$her party.

Write a program that:

Asks the user to enter the diameter of the pizzas to be ordered $($in inches$)$

Asks the user to enter the number of people in the customer's party.

Calculates the number of slices that may be taken from a pizza of the given size.

Calculates the number of pizzas that need to be ordered, assuming that each person in the customer's party will eat an average of $3$ slices.

Display the results, that is$,$ the number of slices each pizza yields and how many pizzas should be ordered.

To calculate the number of slices that may be taken from a pizza, you must know the following facts:

Each slice should have an area of $14\mathrm{.}125$ inches

The area of the pizza is calculated with the same formula you use to calculate the area of a circle

You must determine the number of slices using a function slicesPerPizza$($diameter$).$ Given the diameter of the pizza, it will return the number of slices the pizza will have as an integer.

Note: You will need to round the results. In order to do that, you must import the math module $($hint: you will need to use ceil$()$ and floor$()).$

Here are a few sample runs:

Welcome to Mario and Luigi's Pizzeria

Enter the diameter of the pizzas you want to order $($in inches$)$: $14$

Enter the number of people in your party: $3$

For a party of $3$ people you need to order $1$ pizza$($s$).$

A $14$ inch pizza will yield $10$ slices.

Welcome to Mario and Luigi's Pizzeria

Enter the diameter of the pizzas you want to order $($in inches$)$: $16$

Enter the number of people in your party: $20$

For a party of $20$ people you need to order $5$ pizza$($s$).$

A $16$ inch pizza will yield $14$ slices.