THROWING YOU SOME CURVES IS RED OR BLUE LONGER?
There is a challenging question here for the students.
Is the red line or blue line longer or are they equal to
each other?
Geometry is a way of showing how to explain, use and
investigate math in different shapes, lines and points. A shape
is portrayed in geometry by a formula which is a mathematical
way to prove different quantities of a shape for instance:
area, size or volume. A complex Geometry is used to define
approximately all real-world shapes which are not as simple
as seen. Besides with the geometric formulas the features of
real-word shapes can be estimated and best possible results
can be collected which is called creating a geometric model.
Even the most random shapes can be explained by the use
of geometry: food, plastics, cars, drones, airplanes etc. As
can be understood from the information above Geometry
is everywhere in people’s life and very important for
manufacturing products with the same way every time and
circle is one of the most important shape in Geometry. The
circle was known before the beginning of recorded history
and the natural ones could be observed such as the sun,
moon and stones. The wheel bases on circles with and as its
enhanced it cause the new inventions like gears that is used in
modern machinery. The studies about circles had developed
Geometry, calculus and astronomy. It is believed that great
mathematician Leonhard Euler (1707-83) introduced the
symbol of π to the society. However in fact, the symbol was
first used by his mathematics teacher William Jones (1675-
1749) in his book called Synopsis Palmariorum Matheseoes.
Jones believed that the ratio between the circumference and
diameter can never be expressed by an accurate number and
he found a representation for that irrational number.
A circle is a highly symmetric shape and every line through
the center creats a reflection symmetry which proves that
circle has may rules and formulas in itself. It is already known
that when small circles are drawn inside a big circle the sum
of the diameters of the small circles AB BC CD DE is equal
to the diameter of the big circle which is AE. It is obvious
that the sum of the area of the circles AB BC CD and DE are
smaller than the area of the big circle AE. However, what
about their circumference?
As can be seen above, when the little circles circumferences
are added 12,58+12,56+12,57+12,54=50,25cm which is the
approximate value of the circumference of big circle which
is 50,27cm.
Sooo it is proved that the length of the blue line is equal to
the length of the red line by the formula 2πr.
If you are interested in Geometry you can check these
projects too:
Have your parents ever found you munching on candy and
asked you, “How much candy did you eat?” Instead of saying,
“I don’t know?” and getting in trouble, wouldn’t you rather
say, “I ate precisely 10.7 cubic milliliters of candy mom.”
Make your parents proud of their candy-eating genius child
(you) with this experiment.
Juice boxes are so convenient, just poke the straw in and sip
away! It might surprise you how much thought goes into the
design and manufacturing of a juice box. Each manufacturer
has carefully calculated how big each side should be to hold a
certain amount of juice inside. Find out how different brands
of juice measure up.
Bibliography:
math goodies . (2015). http://www.mathgoodies.com/lessons/vol2/
circle_area.html
Math open refence . (2009). http://www.mathopenref.com/diameter.
html
mathisfun. (2014). https://www.mathsisfun.com/geometry/circlearea.html
Olson, A. (2015, december 5). science boddies . http://www.
sciencebuddies.org/science-fair-projects/project_ideas/Math_p010.
shtml
pinterest. (2009). math: https://s-media-cache-ak0.pinimg.
com/236x/67/d1/a0/67d1a0a208b4833b8db6bfba78828571.jpg
Rothman, P. (2016). historytoday. http://www.historytoday.com/
patricia-rothman/william-jones-and-his-circle-man-who-invented-pi a
Erenşah ÖZDOĞAN
10-B
THE CLAPPER 2015 - 2016 33
MATHEMATICS
DEPARTMENT