Geometry Web Quest for Soccer, Baseball, Basketball, Bowling, Golf, Volleyball and Pool

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Introduction

This assignment provides an analysis of the dimensions of various balls and the filed sizes for different sports. The study has been done for games such as Soccer, Baseball, Basketball, Bowling, Golf, Volleyball and Pool.

List of Charts and Tables

Ball Sizes used in different sports
ALL dimensions are in inches
Ball Radius r Diameter Circumference Surface Volume
Inches Inches Inches Area (A) inch 2 inch3
Soccer 4.454545 8.90909 27.99999712 249.4544943 370.401164
Baseball 1.431818 2.863636 8.999998849 25.7727207 12.3005844
Basketball 4.8840911 9.7681822 30.70000117 299.883205 488.217744
Bowling 4.29577 8.59154 27.00198283 231.9886156 332.189081
Golf 0.84 1.68 5.279999995 8.870399992 2.48370579
Volleyball 4.2 8.4 26.39999998 221.7599998 310.463224
Pool 1.125 2.25 7.071428565 15.91071427 5.96650294
Field Dimensions
Sport Max Dimensions Area of
Width x length playing surface (B)
Soccer 3600*4690 16884000
Baseball 1080*1080 1166400
Basketball 1128*600 676800
Bowling 42*754.187496 31675.87483
Golf 3600*246060 885816000
Volleyball 629.921*314.9606 198400.3968
Pool 233.622*268.858 62811.21892
Ratio of Field to Ball Area
Sport Area of Surface area Area ratio
playing surface (B) inch 2 of ball (A) inch 2 B/A
Soccer 16884000 249.4544943 67683.68734
Baseball 1166400 25.7727207 45257.15439
Basketball 676800 299.883205 2256.878641
Bowling 31675.87483 231.9886156 136.5406434
Golf 885816000 8.870399992 99862013.07780
Volleyball 198400.3968 221.7599998 894.6626848
Pool 62811.21892 15.91071427 3947.730935

List of Formulas Used

There are two sets of formulas used in the paper: calculation for the ball and calculation for the Playing Field. The formulas used are:

Sphere (Ball)
                  1. Formula
Circumference of Sphere 2xpixr
Surface Area of Sphere 4xpixr2
Volume of Sphere 4/3xpixr3
Value of Pi 3.14285714
Diameter 2r
Rectangle (Field)
Area of Rectangle B Width x Length
Circumference 2(Width x Length)
Ratio of area of Field/ ball area B/ A

Summary of Results

My Favorite Sport

My favorite sport is soccer. I like the game because it is an action oriented game and requires good physical fitness. It also requires skill in playing, team playing, passing, shooting and other moves. I like the game because it is very popular and everyone I know likes soccer.

Geometry concepts that were necessary to complete the Web Quest

To complete the Web Quest assignment, concepts of area, size, volume, circumference of solids and 2 dimensional objects were needed.

The similarities and differences in the measurements between the different balls

Balls used for sports such as soccer, volleyball, basketball and bowling are of the similar size range. Balls used for soccer, volleyball and basketball are made of leather or rubber and do not cause any damage when struck by the legs, feet or head. Bowling ball is very hard and it can damage the human body if it is struck. Balls used for pool and golf are smaller in size and designed to be hit with a cue or a golf club. Baseball is also quite hard but can be caught with a mitt.

The similarities and differences in the measurements between the playing surfaces

Field for golf is the biggest and made of grass, sand and water and is the biggest and it has no fixed shape. Soccer field is made of grass or synthetic material and is the next biggest in size and is rectangular. Baseball field has a square shape and the outer field has a radius. Fields for soccer and volleyball are the next largest in size and made of wood and synthetic material and is rectangular in shape. Tables for pool are smaller and made of wood with a felt cover and it is rectangular. Bowling field is rectangular and the length is much longer than the width.

What do the area ratios found represent?

The ratios show that the ball size is very much smaller when compared to the field size. In case of the golf course, the ratio is very, very high and this is because the golf course is much bigger. The ratio for pool is smaller since the table is smaller.

References

Baseball, 2007, ‘Area of playing field’, Web.

Bowling, 2007, ‘Facilities and Dimensions’, Web.

Golf, 2007, ‘Stanford Golf Course’, Web.

Length Conversions, 2007, ‘Common Length and Distance Conversions’, Web.

Pool, 2007, ‘Murrey Pool Tables and Billiard Tables’, Web.

Soccer, 2007, ‘Soccer Rules’, Web.

Volleyball, 2007, ‘Size of Volleyball Court’, Web.

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