Obieve: To experimentally determine the relationship between diameter and circumference of a circular object. Procedure: Measure the diameter of bottle caps using a metric ruler. Measure the circumference of the cap by wrapping a string around it and measuring the string with a ruler. Make sure to use a very small and very large cap. Graph the diameter on the x-axis and circumference on the y-axis. Use proper graphing techniques. Caр Diameter (cm) Circumference (cm) 1 3 4. Conclusion Questions: 1. What is the mathematical equation you use to find the circumference of a circle given the diameter? Rewrite the equation solving for . . Calculate slope. Show all work on the graph. Answer: What is the physical meaning of the slope of your graph? (i.e., what does the slope of this graph represent?) How close is your slope to the constant in the above equation from question number 1? (calculate the percent error)
Obieve: To experimentally determine the relationship between diameter and circumference of a circular object. Procedure: Measure the diameter of bottle caps using a metric ruler. Measure the circumference of the cap by wrapping a string around it and measuring the string with a ruler. Make sure to use a very small and very large cap. Graph the diameter on the x-axis and circumference on the y-axis. Use proper graphing techniques. Caр Diameter (cm) Circumference (cm) 1 3 4. Conclusion Questions: 1. What is the mathematical equation you use to find the circumference of a circle given the diameter? Rewrite the equation solving for . . Calculate slope. Show all work on the graph. Answer: What is the physical meaning of the slope of your graph? (i.e., what does the slope of this graph represent?) How close is your slope to the constant in the above equation from question number 1? (calculate the percent error)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:Name:
Bottle Cap Lab #
Objective: To experimentally determine the relationship between diameter and circumference of a circular
object.
Procedure: Measure the diameter of bottle cans using a metric ruler. Measure the circumference of the cap by
wrapping a string around it and measuring the string with a ruler. Make sure to use a very small and very large
cap. Graph the diameter on the x-axis and circumference on the y-axis. Use proper graphing techniques.
Cap
Diameter (cm)
Circumference (cm)
1
3.
5
Conclusion Questions:
1. What is the mathematical equation you use to find the circumference of a circle given the diameter?
Rewrite the equation solving for a.
2. Calculate slope. Show all work on the graph.
Answer:
3. What is the physical meaning of the slope of your graph? (i.e., what does the slope of this graph represent?)
4. How close is your slope to the constant in the above equation from question number 1? (calculate the
percent error)
5. Is it reasonable to extend the line on your graph through the origin? Explain.
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