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Geographical coordinates are among the most significant fields of mathematics since they are used in almost every aspect of our daily lives. Geometry is supposed to have originated from the Greek phrase ‘Geo-metron,’ which literally translates as “geometry and measuring.” Geometry is the study of 2- dimensional and 3-dimensional shapes which has vast applications in many fields other than classroom study. We can witness many of its applications in the field of art, science, and everyday life. It is known as geometric analysis.
In our daily life, we came across many things which uses geometry, such as getting a scan done, making an image or an animated film, building a house, decorating a house, and so on, which are influenced by geometry. The list goes on and on because geometry has the ability to improve one’s quality of life.
What is Geometry?
Geometry is one of the oldest subjects that are still in existence today. It is the study of mathematics that is concerned with the size, shapes, and figures of objects, as well as the qualities of space. As part of their geometry instruction, pupils learn all about the fundamental shapes, their properties, various formulas, areas and volumes, and many methods of sketching different shapes. However, through time, it has evolved into something much more significant, and it has become an important part of our everyday lives.
In fact, children learn how to use geometrical tools as early as possible. For example, they learn how to use a protractor and a ruler, which helps them prepare for future endeavours such as the construction of a structure or the creation of drawings or maps. It is possible to use geometry to identify how forms and figures should be arranged in order to maximize efficiency and visual attractiveness. Many practical circumstances arise in our daily lives, such as calculating the distance between two objects, calculating the size of a shape that needs to be affixed to a position, taking measurements, and so on. Calculation skills are essential in these instances.
Application of Geometry in Real Life
1. Nature
One of the most significant examples of geometry in everyday life is generated by the natural environment that surrounds us. It is possible to detect geometrical designs and patterns in a variety of plant materials, including leaves, flowers, stems, roots, bark, and the list goes on and on. The fact that the human digestive system is organized like a tube within a tube confirms the importance of geometry in the system. The leaves on the trees are different in terms of their shapes, sizes, and symmetries, among other characteristics. For example, an orange is a sphere, and after peeling it, one can see how the separate slices combine to form the perfect spherical. Varied fruits and vegetables have different geometrical shapes; for example, an orange is a sphere.
2. Technology
Modern technology is the most widespread application of geometry in everyday life. Geometry is applied to practically all of the basic concepts in almost any field, whether it be robotics, computers, or video games. Because the principles of geometry are always available to computer programmers, they are able to do their work efficiently. In video games, the virtual world is produced only because geometric computations aid in the design of the sophisticated graphics that are used in the game’s virtual environment. A 2-D map is used in the act of shooting in order to stimulate the 3-D world of video games, which is known as raycasting. Because the computations for the vertical lines on the screen are carried out for each line on the screen, raycasting helps to increase processing speed.
3. Architecture
Geometry plays an important role in the design and construction of many different buildings and monuments. Prior to the construction of architectural forms, mathematics and geometry aid in the creation of the structural plan for the structure. The fixed characteristics of all types of architectural designs are shaped by the theories of proportions and symmetry. The “Principles of Harmony” of Pythagoras, as well as geometry, were used in the creation of architectural structures in the sixth century BC. Not only did the fundamentals of mathematics, along with geometry, contribute to the enhancement of the aesthetics, harmony, and religious significance of enormous constructions, but they also assisted in the mitigation of different hazards coming from high-speed wind conditions.
4. Sports
Sports rarely misses an opportunity to put geometrical concepts to use in a unique situation. Geometric shapes are taken into consideration when designing the structures of sports stadiums and sporting grounds. Geometry is frequently used on athletic fields; for example, hockey, soccer, basketball, and football fields are all rectangular in design. On the field, the corner kick locations, goal posts, arcs, D-section, and centre circle have all been marked. Additionally, the pitches of numerous other sports, such as volleyball and basketball, take geometrical considerations into mind, as evidenced by the presence of oval and circular arcs that are plainly defined on the fields. When it comes to track fields, semicircular shapes are frequently observed. Angular relationships are also important in forecasting the movement of the players, improving their performance, and scoring a point.
Properties of Geometry
Square
Perimeter: P = 4s or 2s + 2s
Area: A = s2
Rectangle
Perimeter: P = 2w + 2l
Area: A = l ×w
Triangle
Perimeter: P = a + b + c
Area: A = (1/2) × b × h
Types of Triangles:
Isosceles (two equal sides)
Equilateral (all sides equal)
Right (one 90o or right angle)
Pythagorean Theorem (for right triangles only): a² + b² = c²
Sum of the Angles (all triangles): A + B + C = 180
Circle
Diameter: d = 2r
Circumference: C = 2πr = πd
Area: πr²
Rectangular solid: Volume: V = l × w x h
Surface Area: S = (2 x h x w) + (2 × l × h) + (2 x l x w)
Right circular cylinder
Volume: V = πr²h
Surface area: S = 2π r h + 2 π r²
Conclusion
Geometrical coordinates are among the most significant fields of mathematics. They are used in almost every aspect of our daily lives. The study of 2D and 3D shapes can be applied not only in the classroom, but also in art, science, and everyday life. Geometry is applied to practically all of the basic concepts in almost any field, whether it be robotics, computers, or video games. For example, an orange is a sphere, and after peeling it, one can see how the separate slices combine to form the perfect spherical. The pitches of rugby, as well as many other sports, take geometrical considerations into account. These include the presence of oval and circular arcs that are plainly defined on the fields.
