Instruction Sheet
1cm 23456789
10 11
12 13 14 15 16 1
4
45
46
47
48
49
50
ME-6819
1cm 2 3 4 5 6 7 8 9
10 11
12 13 14 15 16 1
4
45
46
47
48
49
50
ME-6819
*012-12606*
Discover Set (10 Pack)
ME-6819A
No. 012-12606A
Equipment Included Quantity
Disks of different diameters: 5.15, 6.35, 8.85, and 9.95 cm
50 cm Transparent Measuring Tapes
Adhesive Stops
10 sets
20
40
Introduction
The Discover Set (10 Pack) allows students to empirically determine the ratio (3.14...). Students measure the
diameter and circumference of each disk using the included measuring tape. The index marks of the measuring
tape are printed on the back, so the actual circumference of the disk (not including the thickness of the tape) is
measured. A slot on the side of each disk holds the tape while the circumference is measured. A line marked on
the face of each disk, passing through the center allows for accurate measurement of the diameter.
Discover Set (10 Pack) Equipment Set Up
1cm23456789
1
1cm23456789
1
Equipment Set Up
Each disk has a slot designed to hold the tape in place while you measure the circumference. To keep the tape from slipping, follow these
steps.
1. Fold the tape at the dashed line.
2. Stick the adhesive stop on the dashed circular outline.
Experiment
What is the relationship between the circumference and
diameter of a circle? Is the ratio of circumference to diameter different for different-sized circles?
In this experiment, you will measure the circumference and
diameter of four different circles and make a graph of circumference versus diameter.
Procedure
1. Slip the folded end of the measuring tape into the slot
on the side of one of the disks.
2. Wrap the tape once around the disk so that it overlaps
the zero-line marker.
3. Record the circumference.
4. Measure the diameter along the line marked on the face
of the disk. Record the diameter.
5. Repeat steps 1 through 4 for the other disks.
Analysis
1. Use your measurements from all four disks to make a graph. Plot circumference
on the vertical axis and diameter on the horizontal axis.
2. Place an appropriate fit on the graph.
Questions
1. Write an equation for your graph.
2. What is the physical meaning of the slope of your graph?
3. What is the physical meaning of the vertical intercept of your graph?
4. A truck tire measures 1.0 m in diameter. Based on your experimental data, what
is the circumference? (Show your work and explain your reasoning.)
2