In Python, define two functions called calc$\_$cirumference and calc$\_$area, which will calculate the circumference and the area of a circle, respectively, based on a radius passed in as an argument. Here$$s some model code that would calculate a diameter based on a radius argument:

def calc$\_$diameter$($radius$)$:

return $2*$ radius;

And here$$s how we would call the calc$\_$diameter function from main$(),$ passing a radius of $5$:

diam $=$ calc$\_$diameter$(5)$ #variable $$diam$$ will take on the value of $10$

The circumference of a circle is $2$ x PI x the radius $(2\backslash$pi r$).$ The area of a circle is PI x the radius squared $(\backslash$pi r$2).$ For PI you can either hard$-$code $3\mathrm{.}1415$ or plug in math.pi$.$ To square the radius, you can use $($radius $*$ radius$)$ or math.pow$($radius$,2).$

Task $2$: Define a Main Function

Define a main function using the def keyword. While you$$re at it$,$ call your main function using the recommended way discussed in this week$$s reading and lecture materials $($i$.$e$.,$ using an if statement to test the file$$s $\_\_$name$\_\_$ variable$).$ Example:

if $\_\_$name$\_\_=="\_\_$main$\_\_"$:

main$()$

Task $3$: Calculate the Number of Pizzas

In order to calculate the number of pizzas to make, follow these steps below. You may create any variables you need at any time in your program.

$1.$ Ask the user for $1)$ the diameter of the pizza and $2)$ the number of expected guests $($see sample output next page$).$

$2.$ Divide the diameter in half to get the radius, and then get the pizza area by passing the radius to your calc$\_$area function.

$3.$ Calculate the slices per one pizza by dividing the area by $14\mathrm{.}125.$

$4.$ Calculate the number of slices needed for the party by multiplying the number of guests by $2.$

$5.$ Finally, calculate the number of pizzas by dividing the number of slices needed by the number of slices per pizza. Since the caterer does not make fractional pizzas, use the math.ceil function to round up to the next highest integer, to ensure they make enough for the party. Example:

numPizzas $=$ math.ceil$($slicesNeeded $/$ slicesPerPizza$)$

Task $4$: Calculate Cups of Cheese Needed for the Crust

To calculate the cups needed to sufficiently stuff the crust:

$1.$ Get the pizza$$s circumference by passing the radius to your calc$\_$circumference function.

$2.$ Calculate the cups of cheese by dividing the circumference by $80($because there are $8$ ounces in a cup, and one ounce of cheese will stuff $10$ linear inches of crust$)$ and then multiply that by the number of pizzas. As in task $3,$ we have to use math.ceil to round up to make sure we have enough. Example:

cupsCheese $=$ math.ceil$($pizzaCirc $/80)*$ numPizzas