Complete programming in python exercise $3$ on page $592(5$th edition$)$ in the text. Modularize your code using procedures, as discussed in section $11\mathrm{.}2.$ Use a loop to

repeat the menu, as discussed in section $11\mathrm{.}3.$ Validate the menu entry. Use the built in constant in the Math library for Pi $($instead of putting the literal value

in your code$).$

Use defensive programming for this assignment. Your program should give the user an error and allow them to re$-$enter if they enter an unreasonable value

$($for example, a zero or negative radius for a circle, or an invalid menu choice$).$ You may assume that the user will enter either an integer or floating$-$point

number, as appropriate.

Half of your grade for this assignment will be for defensive programming. If you chose to complete this optional assignment make sure you implement all the

required defensive programming.

Geometry Calculator

Write a program that displays the following menu:

Geometry Calculator

Calculate the Area of a Circle

Calculate the Area of a Rectangle

Calculate the Area of a Triangle

Quit

Enter your choice $(1-4).$

If the user enters $1,$ the program should ask for the radius of the circle and then

display its area. Use the following formula to calculate the circle's area:

$"$ area $"=$pir$^(2)$

Use $3\mathrm{.}14159$ for pi and the radius of the circle for r$.$

If the user enters $2,$ the program should ask for the length and width of the rectan$-$

gle, and then display the rectangle's area. Use the following formula to calculate

the rectangle's area:

$"$ area $"="$ length $"$xx$"$ width $"$

If the user enters $3,$ the program should ask for the length of the triangle's base and

its height, and then display its area. Use the following formula to calculate the area

of the triangle:

$"$ area $"="$ base $"$xx$"$ beight $"$xx$\mathrm{.}5$

If the user enters $4,$ the program should end. $**$ James Shoe $**$

$1.$ Calculate the area of a Circle

$2.$ Calculate the area of a Rectangle

$3.$ Calculate the area of a Triangle

$4.$ Quit

Enter your choice $(1-4)$: $5$

ERROR: Enter a valid number between $1$ and $4$

Enter your choice $(1-4)$: $0$

ERROR: Enter a valid number between $1$ and $4$

Enter your choice $(1-4)$: $1$

$---$Area for a Circle$---$

Enter the radius: $-5$

ERROR: The radius of a circle must be greater than zero.

Please re$-$enter the radius: $0$

ERROR: The radius of a circle must be greater than zero.

Please re$-$enter the radius: $10$

The answer is: $314\mathrm{.}1592653589793$

$1.$ Calculate the area of a Circle

$2.$ Calculate the area of a Rectangle

$3.$ Calculate the area of a Triangle

$4.$ Quit

Enter your choice $(1-4)$: $4**$ James Shoe $**$

$1.$ Calculate the area of a Circle

$2.$ Calculate the area of a Rectangle

$3.$ Calculate the area of a Triangle

$4.$ Quit

Enter your choice $(1-4)$: $5$

ERROR: Enter a valid number between $1$ and $4$

Enter your choice $(1-4)$: $0$

ERROR: Enter a valid number between $1$ and $4$

Enter your choice $(1-4)$: $1$

$---$Area for a Circle$---$

Enter the radius: $-5$

ERROR: The radius of a circle must be greater than zero.

Please re$-$enter the radius: $0$

ERROR: The radius of a circle must be greater than zero.

Please re$-$enter the radius: $10$

The answer is: $314\mathrm{.}1592653589793$

$1.$ Calculate the area of a Circle

$2.$ Calculate the area of a Rectangle

$3.$ Calculate the area of a Triangle

$4.$ Quit

Enter your choice $(1-4)$: $4$