How Soccer Uses Geometry

Geometry is "a subject area in mathematics that isattacking, knowledge of angles and measurements
concerned with size, shapes, measurements andwould improve the number of passes successfully
relative positions of figures". Soccer is a beautifulcompleted. If your opponent is seeking to pass the
game of skill, technique and teamwork thatball to his team mate, your knowledge of the relative
captivates the attention on billions of peoplepositioning of your opponents would help you to
worldwide. Are the two related? Of course,restrict his passing lanes. If your team mates pass
geometry originated as a practical science after allthe ball "too square" they'd find it difficult to reach
and soccer is concerned with measurements, shapesthe attacking third.
and areas. Geometry influences the field of play, theAn attacker would seek to use wider passing angles
ball, passing and techniques associated with soccer.by using through balls. Passing balls at wider angles, as
The field of playopposed to using the direct route, would reduce the
Symmetry is a fundamental concept in geometry. Inchances of your opponent intercepting the ball. This is
marking a soccer field, symmetry plays an importantknowledge application at its finest. Players don't
role. What is marked on one half should be reflectednecessarily have to know geometry to do this, but it
on the other. The field markings promote a literalwould eliminate a lot of trial and error.
interpretation of a level playing field.Goalkeeping also involves angles. Goalkeepers try to
Fields have minimum and maximum lengths that areposition the wall so that the kicker perceives a
stated in yards or metres and should be rectangularnarrower angle to goal and thus a slimmer chance of
in shape. The soccer field involves other shapes thatscoring. It doesn't always work out for the keeper
include the corner arc, penalty area, penalty arc, goalthough. Shot stoppers usually try to sneak off the
area, halfway line, centre circle and penalty mark.goal line when facing penalties for the same reason
Soccer definitely involves a lot of shapes andthat they come off their line to an oncoming
measurements.attacker. From geometry, we know that the shorter
A grounds man must ensure that the field and fieldthe distance is for the same angle, the narrower the
markings are made to suit the requirements of thedistance would be for the two sides of a triangle.
laws. I have officiated in matches where the arcsTriangulation heavily influences soccer, even though it
resemble melons in the market. Whether the goalwould appear to be common sense.
posts are round or square, the diameter or widthStriking technique
must equate the width of the goal line. Soccer reliesWhen players learn the techniques in striking a ball,
on standard measurements for the centre circle andthey may have to adjust the angle that they
penalty area. The penalty area should be 44 yardsapproach the ball at and the point at which they
long and 18 yards wide. Symmetry is integral whenstrike the ball. They would also have to determine
locating the goal area and goal posts particularly.the trajectory in considering how much swerve they
Any approved soccer field must have the areasimpart on the ball. Strictly speaking, the spin and
described above with standardised or approvedswerve of the ball is the domain of physics, but
measurements and perfect symmetry.understanding the trajectory necessary for an
The ballin-swinging or out-swinging cross would depend on
In identifying the type of ball that would be approvedthe common sense derived from geometry.
for matches, geometry is required again. The shapeGeometry is used in several aspects of the game of
of the ball must be spherical; otherwise the ball wouldsoccer. It influences team formations and basic
never be on a roll. The ball must have atechniques employed. Symmetry is vital to the game
circumference between 27 and 28 inches. Anyas are the technical specifications for the field and
approved ball must meet the technical (geometric)the ball. After all, you should know what an arc is
standards stipulated in Law 2. Even thoughbefore you mark one on the field. Without geometry,
improvements to match balls are being made tothe centre circle would be oval, the ball might not roll
improve goal-scoring, the geometric specifications ofproperly and goalkeepers may think that they have a
an approved match ball remain constant.better chance facing an onrushing attacker by
Playing the ballstaying on the goal-line. Soccer uses geometry
Those who play soccer should be aware that it is asignificantly. Thank goodness for that.
game of angles. Whether you are defending or