Applications of geometry

geometry in real life

Definitionnoun

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

I bet you

didn’t understand a single word!

Let me make it

easy for you…

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.

Enough of the

basics, now let’s get back

to the

topic.

When do we actually use

Geometry?

Topic #1

Area, Perimeter

and Volume

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.

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.

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.

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.

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.

Topic #2

Uses of geometry in

various occupations

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

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

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

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

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

• 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

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.

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