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Pi (ri) is the ratio of the circurnference of a circle to its diameter. The volue of this ratio is a constant regardless of the size of the circle, thits pi is a universal physical constant. The diameter and circumterence of several circles were measured by several chemstry students, each waing a different ruler Data. Set: Firat, examine the data and note the variety of units in order to work with this data, it must all be converted to the same unit. Convert the data so that all the volues are reported in the sq unit of centimeters, then re enter all the data, in centimeters, in the table belowk be sure to teport the measusements with the comrect number of significant figures. below: Be sare to report the measurements with the correct number of significant figures. Report Table EX.1: Converted Data Set Inspect the data and calculate the value of pi using two poirs of the data: (0. Spts) Value of pi using the first pair of the data: (0.5pts) Value of pi using the second pair of the data: (6pts) Question 2 Prepure a hand drawa plot of the two variables using the grid sheet in the lab manual or other graph paper a. Include a title, avis labeis (with units), and a trendline. (1pts) b. Estimate the circumference, in centimelets, of a circle with a diameter of 3,92cm. D Cireunterence (cm) (6pts) Question 2 Prepare a hand-drawn plot of the two variables using the grid sheet in the lab manual or other graph paper. a. include a titie, axis labels (with units), and a trendline. (1pts) b. Estimate the circumference, in centimeters, of a circle with a diameter of 3.92cm Circumference (cm) (1pts) c. Estimate the diameter, in centimeters, of a circle with a circumference of 4.65 in. Diameter (cm) (4pts) d. Attach a picture of the fully labelied, hand-drawn plot here. Browse your files to upload or Draa and Dron Prepare a plot using graphing software. (5pts) a. Include a title, axis labels (with units), the equation of the best.fit line and the R2 value on the graph. b. Rewrite the equation of the best-fit line substituting "Diameter" for x and "Circumference" for y directly on the graph. c. Aftach a picture of the fully labeled computer generated graph or your Excel file cantainina the wrank hwo. What is the value of pi based on the equation for the best-fit line? (7pts) Caleulated value of pic (1pts) Question 5 Determine the percent error using Equation EX.1 and an actual value of 3.142, Foerror=ActualActualExporimenta! (ipts) Percem error (s) Using your computer-generated graph: (1pts) a. Visually estimate the circumference, in centimeters, of a circle when the diameter is 3.92cm. Circumference (cm) (1pts) b. Calculate the circumference, in centimeters, for d=3.92cm using the equation of the best-fit line. Use the graph to ensure that this value is reasonable. Circumference (cm) (1pts) c Compare the calculated circumference to the two visually interpolated values (Steps 2b and 6a ). Briefly discuss any discrepancies. Using your eomputer generated graph: (1pts) a. Visually estimate the diameter, in centimeters, of a circle with a circumference of 4.65 inches. Diameter (cm) (ipts) b. Calculate the diametes, in centimeters, for c=4.65 in using the equation of the line. Use the graph to ensure that this value is reasonable. Diameter (cm) Pi (ri) is the ratio of the circurnference of a circle to its diameter. The volue of this ratio is a constant regardless of the size of the circle, thits pi is a universal physical constant. The diameter and circumterence of several circles were measured by several chemstry students, each waing a different ruler Data. Set: Firat, examine the data and note the variety of units in order to work with this data, it must all be converted to the same unit. Convert the data so that all the volues are reported in the sq unit of centimeters, then re enter all the data, in centimeters, in the table belowk be sure to teport the measusements with the comrect number of significant figures. below: Be sare to report the measurements with the correct number of significant figures. Report Table EX.1: Converted Data Set Inspect the data and calculate the value of pi using two poirs of the data: (0. Spts) Value of pi using the first pair of the data: (0.5pts) Value of pi using the second pair of the data: (6pts) Question 2 Prepure a hand drawa plot of the two variables using the grid sheet in the lab manual or other graph paper a. Include a title, avis labeis (with units), and a trendline. (1pts) b. Estimate the circumference, in centimelets, of a circle with a diameter of 3,92cm. D Cireunterence (cm) (6pts) Question 2 Prepare a hand-drawn plot of the two variables using the grid sheet in the lab manual or other graph paper. a. include a titie, axis labels (with units), and a trendline. (1pts) b. Estimate the circumference, in centimeters, of a circle with a diameter of 3.92cm Circumference (cm) (1pts) c. Estimate the diameter, in centimeters, of a circle with a circumference of 4.65 in. Diameter (cm) (4pts) d. Attach a picture of the fully labelied, hand-drawn plot here. Browse your files to upload or Draa and Dron Prepare a plot using graphing software. (5pts) a. Include a title, axis labels (with units), the equation of the best.fit line and the R2 value on the graph. b. Rewrite the equation of the best-fit line substituting "Diameter" for x and "Circumference" for y directly on the graph. c. Aftach a picture of the fully labeled computer generated graph or your Excel file cantainina the wrank hwo. What is the value of pi based on the equation for the best-fit line? (7pts) Caleulated value of pic (1pts) Question 5 Determine the percent error using Equation EX.1 and an actual value of 3.142, Foerror=ActualActualExporimenta! (ipts) Percem error (s) Using your computer-generated graph: (1pts) a. Visually estimate the circumference, in centimeters, of a circle when the diameter is 3.92cm. Circumference (cm) (1pts) b. Calculate the circumference, in centimeters, for d=3.92cm using the equation of the best-fit line. Use the graph to ensure that this value is reasonable. Circumference (cm) (1pts) c Compare the calculated circumference to the two visually interpolated values (Steps 2b and 6a ). Briefly discuss any discrepancies. Using your eomputer generated graph: (1pts) a. Visually estimate the diameter, in centimeters, of a circle with a circumference of 4.65 inches. Diameter (cm) (ipts) b. Calculate the diametes, in centimeters, for c=4.65 in using the equation of the line. Use the graph to ensure that this value is reasonable. Diameter (cm)