Determining The Ratio Of Circumference To Diameter Of A Circle :: essays research papers

Determining the proportion of Circumference to Diameter of a CircleIn determining the proportion of the circumference to the diameter I began bymeasuring the diameter of one(a) of the si objects which contained circles, thenusing a cast, I wrapped the string around the circle and compared the lengthof the string, which measured the circumference, to a meter stick. With this mode I measured all of the six circles. After I had this data, I went back andrechecked the circumference with a tape measure, which allowed me to make a more thanaccurate measure of the objects circumferences by taking away some of the delusionthat mymethod of using a string created.After I had the measurements I layed them show up in a table. The objectsthat I measured were a small flask, a large flask, a tray from a cuticle, a buzzof tape, a roll of paper towels, and a spraycan.By dividing the circumference of the circle by the diameter I was ableto calculate the experimental proportionality, and I k new that the judge dimension was pi.Then I put both ratios in the chart.By subtracting the accepted ratio from the experimental you find the fallacy. Error is the deviation of the experimental ratio from the accepted ratio.After I had the error I could go on to find the percentage error. The equation Iused was, error split by the accepted ratio times 100. For example, if I tookthe error of the experimental ratio for the paper towels, which was 0.12. I tookthat and divided it by the accepted ratio prominent me .03821651. Then I multipliedthat by 100 giving me about 3.14. Using these steps I found the percentage errorfor all of the objects measured.The next step was to graph the results. I was able to do this veryeasily with spreadsheet. I typed in all of my data and the computing machine gave me anice scatter block graph. I also do a graph by hand. I set up the scale bytaking the number of blocks up the side of my graph and dividing them by thenumber of blocks across. I placed my points on my hand drawn graph. in one case I didthis I drew a line of best representation because some of the points were off alittle bit due to error.By looking at my graph I can tell that these number are directlyproportional to each other. In this lab it was a good way to learn about error