Although we all have heard that pi is 3.14, that is not entirely correct. Pi is actually an irrational number, that is, a never-ending, non-repeating decimal. Using 3.14 as a good approximation to the value of pi creates only about a 0.1% error; we can usually make allowance for an error that small. Officially, pi is defined as "the ratio of the circumference of a circle to its diameter." Since a ratio is a fraction, if we measure the circumference (c) and diameter (d) of any circular object and divide c by d, our answer should be approximately 3.14. (Unless you have special measuring instruments, your measurements will only be accurate to one or two decimal places.) Assignment A 1. Find three circular or cylindrical objects of varying sizes. (Tin cans, soccer balls, tires, and so forth will work.) Write a brief description of the object in the first column of the table below. 2. Using a tape measure (a piece of string and a meter stick will work, if necessary), carefully measure the circumferences and diameters of the three objects and enter the results in the second and third columns of the table. 3. Divide the circumference (second column) by the diameter (third column), and record the quotient in the last column. Round off to two decimal places if necessary. This number should be close to 3.14 if you are diligent in doing the experiment. Incidentally, it does not matter what dimensions you use (centimeters, inches, and so on), since the units will cancel when you divide. Description of Circumference Diameter Circumference Object (c) (d) Divided by Diameter (cld) 2 3 Look at the numbers in the fourth column. Are they close to each other? That is precision. Are they close to 3.14? That is accuracy.On the back Of ull 1. How does the value of pi vary with the size of an object? 2. Were you precise? Were you accurate? Consider and suggest some sources of error that might contribute to imprecise or inaccurate measurements. 3. What did you learn from this experiment that can help you in life