Constructing a Circle Map by hand

For about a week in my math class, we worked on statistics and probability using m&ms. We then had to construct a circle map using the class data based on the number of m&ms there were for each color. It seems like there are two ways to create a pie chart. One way of calculating is by using proportions and degrees of the circle. Then you would have to use a compass and a protractor to draw accurate sectors. Here is a link that explains more about constructing it in this manner.

The next way of constructing a circle map is drawing a bar graph with the given data. Once you are done drawing the bar graph, cut out the strips and connect them to form a circle. Then place the circle on a piece of paper to trace the circle and also draw out the sectors for each variable. It might sound weird, but this way is also mathematically correct. My hypothesis is because connecting the bars makes the circumference of the circle and each bar is the arc of the circle. Therefore, making the pie chart almost accurate. The reason I say almost is because there might be some minor errors when drawing the bars or when tracing the circle.These were the strips that my partner and I connected in order to form a circle. Ours turned out too big that my partner was able to wrap it around her arm thrice!

These were the strips that my partner and I connected in order to form a circle. Our strips turned out to be too long that my partner was able to wrap it around her arm thrice!

This is our pie graph that we made based off the strips. We had to use four white papers to construct it!