Graphing Techniques Lab
Name: Tishya Sudhahar
Table #1: Circumference and Diameter of Different Types of Balls
Name of Object
Diameter (± 0.05) (cm)
Circumference (±0.1) (cm)
T1
T2
T1
T2
Marble
1.43
1.44
1.8
1.8
Purple Bouncy Ball
1.84
1.86
2.2
2.2
Ping Pong
4.00
4.00
5.0
5.0
Golf Ball
4.21
4.21
5.3
5.2
Sunset Bouncy Ball
2.81
2.81
4.8
4.8
Table #2: Average Circumference and Diameter of Different Types of Balls
Name of Object
Average Diameter (cm)
Average Circumference (cm)
Marble
1.43 1.9 Purple Bouncy Ball
1.85
2.2
Ping Pong
4.00
5.0
Golf Ball
4.21
5.3
Sunset Bouncy Ball
2.81
4.8
Graph: Average Circumference vs. Diameter Analysis: 1.
5.25
−
1.85
4.21
−
1.43
=
1.24
cm
This ratio, which is the slope of the line, is called pi (π). The formula graphed is circumference = pi* diameter. This is an equation of the form y = mx where the slope m is pi (π). Slope is also equal to the circumference over the diameter (rise/run) and the equation would then be 2πr/2r which when simplified would equal pi (π) hence why the slope is equal or is also known as π.
