Description
More Calculations
1.1 Programming Exercises
1. Write a program that will take four numeric inputs from the user and return the
maximum and the minimum of the inputs. To do this we will use a technique that
we will generalize later. First of all, we could do this with conditional statements
(sometimes called if statements) but that is not needed and do not use them for this
exercise.
Recall that the Math command has a function called max that finds the
maximum of two numbers, unfortunately it does not take 4 numbers or this would be
a very short program. As a test, write a program that just takes in two numbers num1
and num2, does the line below and then prints out the value of max. Run it a few
times with different inputs to get a feel for how it works.
double max = Math.max(num1, num2);
Now use the max function with the value of max and num3 and assign the result back
into max, do that again with the values of max and num4. Finding the minimum of
the four numbers is similar since Math also has a min function.
Input number 1: 127
Input number 2: 45
Input number 3: 278
Input number 4: 97
Maximum = 278.0
Minimum = 45.0
2. In the game of Dungeons and Dragons the dice that are used are the five platonic
solids, one has 4 faces, one has 6 faces, one has 8 faces, one has 12 faces, and the final
one has 20 faces. Write a program that will simulate the rolling of the five dice and
print out the results in the above order.
3. Write a program that will calculate the area of a trapezoid.
The area of a trapezoid is calculated as the height m times the average of the two bases
k and f.
Input one side length: 4
Input the other side length: 7
Input the height: 3
Area = 16.5
4. In the game of Black Jack each player is dealt two cards from a standard poker deck,
face down. In a standard poker deck of cards, each card has a face value and a suit.
The face values are A (Ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, J (Jack), Q (Queen), K (King)
and the suits are ♦ (Diamonds), ♥ (Hearts), ♣ (Clubs) and ♠ (Spades). Write a
program that will “deal” two cards to two players and output something similar to the
following.
Player 1
Card 1: 7 of 2
Card 2: 1 of 3
Player 2
Card 1: 7 of 1
Card 2: 12 of 3
2
In this output the first number is the face value, with Ace = 1, Jack = 11, Queen =
12 and King = 13. The other numbers of the face value are, of course, the number on
the card. The second number is the suit with Diamonds = 1, Hearts = 2, Clubs =
3 and Spades = 4. Make sure that you test the program several times to make sure
that all of your values are in the correct ranges. It is possible that the same card may
be dealt more than once, that is, the 3 of clubs could show up several times. Do not
worry about this.
2 Challenge Exercise
Challenge Exercises are optional, they will be graded as extra credit.
1. In a regular octagon, pictured below, the length r is the length from the center of the
octagon to one of the vertices, h is the perpendicular length from the center to one
side, and the length of one side is S.
The side length S can be calculated as r ·
p
2 −
√
q
2. The length h can be calculated as
r
2 −
S
2
2
. The area of the triangle with sides h and r can be calculated as 1
2
· b · h,
where b is half of S. There are 16 of these triangles inside the octagon and of course
there are 8 sides.
Write a program that will take the length r and calculate the area of the octagon and
the perimeter (total distance around) of the octagon. A sample output is below.
Input r: 5
Area = 70.71067811865474
Perimeter = 30.614674589207176
