Topic D: Circle Graphs (“Pie Graphs”)

Circle graphs show how the parts of something compare to each other. Circle graphs also give a good picture of each part compared to the whole thing. In a circle graph or pie graph, the complete circle is the whole thing. The parts of a circle graph may be identified with a percentage. The total of the parts must be 100%.

Graph 1

The circle represents each dollar the government spends. The information for the graph was found at the Department of Finance, April 2010.

The parts are shown as cents of the dollar.


A labelled circle graph. Image description linked in caption.

 

  1. What is the biggest expense of the federal government?
  2. How much of each federal dollar is spent in actually operating the government business?
  3. What part of the federal dollar is spent on defence?
  4. How much of each dollar is spent on Provincial Payments? Write this amount as a percent.
  5. What is the smallest expenditure of the federal government? Write this amount as a percent.

Answers to Graph 1

  1. Payments to Persons
  2. 20¢
  3. 20¢; 20%
  4. Budgetary Surplus; 4%

Graph 2


A labelled circle graph. Image description linked in caption.
  1. What makes up the largest part of the waste in the landfill site?
  2. What four categories contribute equal weight to the landfill site?
  3. In a municipality of 139,000 people, the amount of waste going to a landfill site in one day is 150 tonnes.
    1. What is the mass of plastics?
    2. What is the mass of yard waste?
    3. What is the mass of construction/demo waste?
    4. If all the food waste was composted, how many tonnes of waste would not end up in the landfill each day?
  4. The plastics category can be separated into these categories:
    • 6% Non-recyclable mixed plastics
    • 4% film plastic
    • 3% recyclable rigid food containers

    If all the 3% recyclable rigid food containers were actually recycled, how many tonnes of waste would not end up in the landfill?

Answers to Graph 2

  1. Food waste
    • Diapers, Personal Hygiene
    • Glass
    • Bulky Goods
    • HHW (Household Hazardous Waste
    1. 19.5 tonnes
    2. 10.5 tonnes
    3. 24 tonnes
    4. 34.5 tonnes
  2. 4.5 tonnes

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Fundamentals of Mathematics 6 Copyright © 2022 by Liz Girard and Wendy Tagami is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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