Notesale: Turn your study into money

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above

---

PROGRAMMING PRACTICE-PROBLEM QUESTIONS AND
DETAILED SOLUTIONS – VOLUME 2
MATHEMATICAL EQUATIONS AND FORMULAE EXERCISES

1

Contents
1

Problem to Determine the Area and Circumference of a Circle
...
1

Program
...
2

Output
...
3

2
...
3

2
...
4

3

Problem to Compute the Sum of Interior Angles of a Regular Polygon
...
1

Program
...
2

Output
...
4

4
...
4

4
...
5

5

Problem to Compute the Quadratic Equation
...
1

Program
...
2

Output
...
Your
program should then use the radius to calculate the area and circumference of the circle
...
1 Program
import math
#The math class needs to be imported as done above so as to use the function pi later
radius = float(input("Please provide the radius of the circle:\n"))
#float is a keyword for specifying that a data type of decimal can be allowed
area = math
...
pi*radius
print("The area of the circle is " + str(area) + " square units")
print("The circumference of the circle is " + str(circumference) + " units")

1
...
5
The area of the circle is 38
...
991148575128552 units

2

Problem to Calculate the Volume of a Cone
Make a computer program through which one can provide the radius and the height of the
cone and the program will determine the volume of the cone
...
1 Program
import math
radius = float(input("What is the cone's radius?\n"))
height = float(input("What is its height?\n"))
volume = (1/3)*(math
...
2 Output
What is the cone's radius?
3
...
06312046977213 cubic units

3

Problem to Compute the Sum of Interior Angles of a Regular Polygon
Create a computer program with an interactive capability to ask the user of the number of
sides in a regular polygon, and thereafter the program will calculate the sum of the interior
angles
...
1 Program
sides_number = int(input("What is the number of sides of the polygon?\n"))
#int is a keyword specifying that only a data type of integer (whole number) is allowed
sum_of_angles = (sides_number-2)*180
print("The sum of interior angles is " + str(sum_of_angles) + " degrees")\n"))

3
...
The problem is for you to develop a dynamic program that can calculate the
any of the trio when you are given the other two sides
...
1 Program
#1
...
sqrt(opp**2 + adj**2)

4

print("The hypotenuse side has a length of " + str(hyp) + " units")

#2
...
sqrt(hyp**2 - adj**2)
print("The opposite side has a length of " + str(opp) + " units")

#3
...
sqrt(hyp**2 + opp**2)
print("The adjacent side has a length of " + str(adj) + " units")

4
...
22
What is the length of the adjacent side?
5
...
295752536432797 units
What is the length of the hypotenuse side?
7
...
33
The opposite side has a length of 6
...
33
What is the length of the adjacent side?
2
...
663330768243817 units

5

5

Problem to Compute the Quadratic Equation
The quadratic equation is a mathematical expression that results to more than one solution
...
You are to create a computer program that
will solve for the two quadratic roots
...
1 Program
import math
a = float(input("What is the value of a?\n"))
b = float(input("What is the value of b?\n"))
c = float(input("What is the value of c?\n"))
first_root = (-b + math
...
sqrt(b**2 - 4*a*c))/2*a
print("The roots are " + str(first_root) + " and " + str(second_root))

5
...
0

of a?
of b?
of c?
and -4

---