Last Updated on November 19, 2023

So this lesson only had 4 exercises (from what I could see, anyway), but for some reason they start at 16.

At any rate, this lesson was about modules. `math`

and `random`

were at the focus of the lesson and its exercises.

## Problem 16

Use a`for`

statement to print 10 random numbers.

### My Code

```
# Runestone.Academy thinkcspy course
# Chapter 5
# Problem 16
import random
for i in range(10):
prob = random.random()
print(i+1, '-', prob)
```

### Result

Result from the first run of this script

## Problem 17

Repeat the above exercise but this time print 10 random numbers between 25 and 35, inclusive.

### My Code

```
# Runestone.Academy thinkcspy course
# Chapter 5
# Problem 17
import random
for i in range(10):
prob = random.randrange(25, 36)
print(i+1, '-', prob)
```

### Result

Result from the first run of this script

## Problem 18

ThePythagorean Theoremtells us that the length of the hypotenuse of a right triangle is related to the lengths of the other two sides. Look through the`math`

module and see if you can find a function that will compute this relationship for you. Once you find it, write a short program to try it out.

### My Code

```
# Runestone.Academy thinkcspy course
# Chapter 5
# Problem 18
import math
a = float(input('What is the length of the first side of the triangle?'))
b = float(input('What is the length of the second side of the triangle?'))
c = math.sqrt(a*a + b*b)
print('The hypotenuse of this triangle with is', c, '.')
```

### Result

The numbers used to get this result were 12 and 12.

## Problem 19

Search on the internet for a way to calculate an approximation forpi. There are many that use simple arithmetic. Write a program to compute the approximation and then print that value as well as the value of`math.pi`

from the math module.

### My Code

```
# Runestone.Academy thinkcspy course
# Chapter 5
# Problem 19
import math
c = float(input("Today we are going to calculate pi from the dimensions of a circle. What is the circumference of your circle?"))
d = float(input("And what is the diameter of your circle?"))
zpi = c/d
print("The approximate value of pi from the dimensions provided is", zpi)
print("The actual (also technically approximate) value of pi is", math.pi)
```

### Result

The numbers were 22.2817 for the diameter and 70 for the circumference. The numbers were generated on this site.