Decide what categories you want to graph. Study your questionnaire and determine what categories the questions fall into. For example, if your questionnaire is about animals in households, you might have "Dog," "Cat," and "Fish" categories.
Count how many questionnaires fall into your categories. For example, out of 120 questionnaires you might have 60 questionnaires from dog owners, 30 from cat owners, 15 from fish owners and 15 from "Other."
Convert the number of respondents in each category into a percentage of a whole. For example, 60 out of 120 = 60 / 120 = 50 percent, 30 out of 120 = 30 / 120 = 25 percent and 15 out of 120 = 15 / 120 = 12.5 percent.
Convert your percentages into angles by multiplying 360 degrees by the percentage. For example, 0.5 x 360 degrees = 180 degrees, 0.25 x 360 = 90 degrees and 0.125 x 360 = 45 degrees.
Draw a circle on the paper with the compass.
Draw a horizontal line across the center of the circle to make two halves.
Draw a vertical line across the circle from the top to the bottom, making four quarters.
Draw two more lines going across the circle through the center in the shape of an X, dividing the circle into eight equal pieces. Each piece represents 45 degrees.
Choose a color and color in the first category. In this example, the Dog category is 180 degrees, so color half of the circle in your chosen color. Outside the circle, draw a small box and write the name of the category next to the circle. This is the graph's key. Repeat, using a different colored pencil, for the rest of the categories.