To linearize this we squared the independent variable. The graph for Area vs Diameter took the form of a top opening parabola. There was a Y intercept but we chose not to include it because it was insignificant. For the Circumference vs diameter graph our mathematical model was C=(3.279 mm/mm)(diameter). The Graph of Circumference vs Diameter was linear to start so we did not need to linearize the graph. We found one of the graphs was linear and we left that line alone but the other was in the form of a top opening parabola so we squared the independent variable to find the linear fit for the data. We then used logger pro to graph all the data we collection. for partial squares estimating was required but we could measure the square in mm to get a very accurate measurement. We would trace the circumference on graph paper then because each square was on square centimeter just count them out. To calculate area we used graph paper and had to count squares. we then rolled the object down the meter stick until the point on the object made a full rotation and was perpendicular to the meter stick indicating a full rotation of the circle and giving us the diameter. we would start by marking a point on the object and placing the object so the point lines up with zero on a meter stick. To measure the diameter we rolled the object across a yard stick starting at a marked point on the circular object and ending back at that point. We measured the diameter just by using a ruler. we also used a meter stick to measure diameter and circumfrence and also used graph paper to find area. Including a wheel, a stopper, a roll of tape, a weight, a piece of pipe and a penny. In this lab we measured the diameter, circumference and area of various circular objects. The purpose of this lab was the determine the relationship between the independent and dependent variables.
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