Applications of geometry in everyday life

1. geometry
in real life

2. Definition
noun
Merriam-Webster Dictionary
a branch of mathematics that deals with
the measurement, properties, and
relationships of points, lines, angles,
surfaces, and solids; broadly: the study
of properties of given elements that
remain invariant under specified
transformations

3. I bet you didn’t
understand a single
word!
Let me make it
easy for you…

4. What is Geometry?
• Geometry is one of the classical disciplines
of math.
• Roughly translating in Greek as "Earth
Measurement", it is concerned with the
properties of space and figures.
• It is primarily developed to be a practical
guide for measuring lengths, areas, and
volumes, and is still in use up to now.

5. Enough of the
basics, now
let’s get back to
the topic.

6. When do we
actually use
Geometry?

7. Topic #1
Area,
Perimeter and
Volume

8. Area problems are one of the most common uses
of geometry in our everyday lives. Let's say you need
to install new carpet in your bedroom.
How much carpet will you need to buy?
Measure your room's length and width and then
multiply them together to find out how many square
feet of carpeting is needed. This is represented by the
formula A = L x W, or area equals length times width. If,
for example, your room is 12 feet by 10 feet, you will
need 120 square feet of carpet.

9. Another area problem you may encounter is
determining how many cans of paint
to buy to cover your walls. The
label on the gallon of paint tells you it will cover 400
square feet. You measure your walls and find
that the room you want to paint has walls of the
following dimensions: 10 ft x 10 ft, 10 ft x 8 ft, 10 ft x
10 ft and 10 ft x 8 ft. So you need to cover the areas of
100 square feet + 80 square feet + 100 square feet + 80
square feet = 360 square feet. Your room can be single
coated by one can of paint.

10. Perhaps you are planning a garden. A
bag of fertilizer says it can cover 100 square feet. You
need to know how many bags you will need.
Measure the area of your garden (length
times width) to find your area. Let's say my
garden measures 40 feet by 20 feet. That means I need
to cover 800 square feet of area with fertilizer. Divide
800 by 100 and you get 8. We need 8 bags of fertilizer
for my garden.

11. Let's say you want to fence a
garden. Find the perimeter
to answer this question. Add up all four
sides to get the perimeter - 40 +20 + 40 +
20 = 120 feet. You will need 120 feet of
fencing to enclose your garden.

12. You could use volume to find out how
much cement mix it will take to pour a
walkway or how much sand is needed to
fill a sandbox.
Let's look at the sandbox example. You have built a sandbox that
is 5 feet long by 5 feet wide. The sides are 6 inches tall. Volume is
length times width times height or V = L x W x H. Six inches
equals one half of a foot, or 0.5 feet. Our equation would be 5 x
5 x 0.5 = 12.5 cubic feet. It will take 12.5 cubic feet of sand to fill
our sandbox. A fifty pound bag of sand is approximately half a
cubic foot, so 25 bags would fill the sandbox completely full, or
12 and 1/2 bags would fill it half full, leaving room for sand toys
and kids.

13. Topic #2
Uses of geometry
in various
occupations

14. A mechanical engineer designs machines
ranging from tiny gearsets to large
construction cranes. Using geometry, he
determines the strongest shapes for mechanical
parts. He calculates the area, weight and
volume of pieces and ensures that a machine's
thousands of moving parts fit together and
don't interfere with one other.
Mechanical Engineer

15. A surveyor uses trigonometry, a branch of geometry,
to measure distances and angles between
points on land. Trigonometry uses the mathematical
properties of right triangles; by measuring one angle
and one distance, the surveyor can calculate the
lengths of the other sides and the angles between
them. While computerized and automated equipment
now does the actual work of calculation, the surveyor
must understand the principles behind the calculations
to perform the measurements correctly.
Surveyor

16. A mathematician uses sophisticated conceptual
tools to investigate the properties of shapes.
Using proofs, which justify geometric ideas in a clear,
step-by-step manner, he lays the mathematical
foundations for new ideas in geometry. The
mathematician then publishes these ideas, and
people of other occupations adopt them in
useful ways. The mathematician also educates and
trains students in using geometry, proofs and
mathematical concepts.
Mathematician

17. Many of the ideas an astronomer uses are applications
of geometry. As stars and galaxies form, they settle
into shapes such as spheres and discs that
conform to their mass, their composition
and the force of gravity. An astronomer studies
the elliptical orbits of comets, asteroids and planets; to
find exact answers to questions about their speed and
location, she uses the mathematical properties of
ellipses.
Astronomer

18. A graphic designer studies how basic geometric
shapes combine into artistic visual layouts
in two and three dimensions. A graphic
artist uses geometric concepts such as
perspective and golden ratios to
create the most pleasing designs. He
uses computer graphical tools that break
complex, realistic images into many basic circles,
lines and polygons.
Graphic Designer

19. • Computer imaging, something that is used nowadays for
creating animations, video games, designing, and stuff like
that, are created using geometric concepts.
• Also, geometry is used in mapping. Mapping is an essential
element in professions such as surveying, navigation, and
astronomy. From sketching to calculating distances, they use
geometry to accomplish their job.
• In addition, professions such as medicine benefit from
geometric imaging. Technologies such as CT scans and MRIs
are used both for diagnosis and surgical aids. Such methods
enable doctors to do their job better, safer, and simpler.
Some more occupations in which
geometry is used

20. As you can see, geometry
affects us even in the most
basic details of our
lives. No matter what the form,
it helps us understand
specific phenomena and it
helps us in uplifting the
quality of life.

21. Thanks for
Watching!
Have a nice day!