exercise_1.md

Unit 3 Practice

Exercise 1 - Geometry

Let's do a little geometry!

1.1

• Create three variables a, b and c.

• Assign a number to each to represent the lengths of the sides of a triangle.

• Calculate the perimeter of the triangle

  Output

  A triangle with sides of 3, 4, and 5 has a perimeter of 12.
  

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1.2

• Create variables with numbers representing the base and height measurements of the triangle. Select a, b or c to represent the base.

• Calculate the area of the triangle.

  Output

  A triangle with a base of 5 and a height of 8 has an area of 20.0.
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  A triangle with a base of 2.8 and a height of 2.02 has an area of 2.828.
  

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1.3

• Assign a number to a variable to represent the radius of a circle.

• Use the constant for pi contained within the math module and the radius variable to calculate the circumference and area of a circle.

  Output

  Circle
  
  Radius: 5
  Circumference: 31.4159...
  Area: 78.5398...
  

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1.4

• Calculate the volume of a sphere with the same radius.

  Output

  Sphere
  
  Radius: 5
  Volume: 523.5987...
  

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1.5

• Assign a number to a variable to represent the radius of a second circle.

• Use the two radii to calculate the area of an annulus.

  Output

  Annulus
  
  Outer Radius: 5
  Inner Radius: 3
  Area: 50.26548245743669
  

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Extra challenges

1.6

• Create two variables, a and b to represent the adjacent sides of a right triangle.

• Find the hypotenuse of a triangle using a and b. Assign the value to a variable c.

• Display the result to the user

  A triangle with sides of 65 and 72 has a hypotenuse of 97.
  

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1.7

Use the random module to generate random integer values for the circle and sphere's radius and the triangle's base and height.

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1.8

Have the user enter all number values used in previous versions. Don't forget that input() always returns a string.

Exercise 1 solution

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Exercise 2 >

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