(the boring) definition nouna 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 Merriam-Webster Dictionary
I bet you didn’tunderstand 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 thebasics, nowlet’s get back tothe topic.
Area problems are one of the most common usesof geometry in our everyday lives. Lets say you need to install new carpet in your bedroom. How much carpet will you need to buy? Measure your rooms length and width and then multiply them together to find out how many square feet of carpeting is needed. This is represented by theformula 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 how many cans of paintdetermining 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 x10 ft and 10 ft x 8 ft. So you need to cover the areas of100 square feet + 80 square feet + 100 square feet + 80square 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 (lengthtimes width) to find your area. Lets say mygarden 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.
Lets say you want to fence agarden. Find the perimeter to answer this question. Add up all foursides 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. Lets look at the sandbox example. You have built a sandbox thatis 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 ofgeometry in variousoccupations
Mechanical Engineer A mechanical engineer designs machines ranging from tiny gearsets to large construction cranes. Using geometry, hedetermines the strongest shapes for mechanical parts. He calculates the area, weight andvolume of pieces and ensures that a machines thousands of moving parts fit together and dont interfere with one other.
SurveyorA 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 betweenthem. While computerized and automated equipmentnow does the actual work of calculation, the surveyormust understand the principles behind the calculations to perform the measurements correctly.
MathematicianA 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.
AstronomerMany of the ideas an astronomer uses are applicationsof geometry. As stars and galaxies form, they settleinto shapes such as spheres and discs that conform to their mass, their composition and the force of gravity. An astronomer studiesthe 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.
Graphic DesignerA graphic designer studies how basic geometricshapes 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 breakcomplex, realistic images into many basic circles, lines and polygons.
Some more occupations in which geometry is used• 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.
As you can see, geometry affects us even in themost basic details of ourlives. No matter what the form, it helps us understandspecific phenomena and it helps us in uplifting the quality of life.