Archimedes made early advances in approximating Pi through drawing polygons inside and outside circles and using the formula for the circumference of a circle. He established fundamental principles of density that are still used today, such as in determining if objects will float based on their density compared to the fluid around them. Archimedes also discovered the principle of buoyancy when he observed that submerging himself in water displaced an amount equal to his weight, leading him to differentiate weights between objects based on the weight of fluid displaced.

1. Archimedes
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By: Libby, Paige,
Bradley, Kirsten, and
Jeanette
Archimedes and Pi
 He drew polygons inside and
outside a circle and then used Pi r
squared to find the perimeter of the
polygons. By using this formula, he
was able to come with a very
accurate approximation of Pi.

2.  We would use Pi today when
finding circumferences and area of
circles.
Archimedes and
Density
 Archimedes’ rules of density are
used for many things, such as
determining what floats, weighing
objects, and especially with
submarines when they travel
underwater.

3.  Submarines are not only the most
useful type of weapon in the war,
but they are also a great example of
how density works. This is because
when maintaining the same level
under the water, they are also able
to carry tons of weaponry with them
without sinking.
Archimedes and
Buoyancy
 Archimedes was bathing and discovered that
when he submerged himself into the tub that
water would be displaced. By collecting and
weighing the displaced water helped him
differentiate the weight between objects.

4.  Buoyancy is used today when ships travel
across the oceans to transport goods to other
countries. During manufacturing, it is
important to know the principles of buoyancy
so that the ships don’t sink because of their
weight.