Geometry is a branch of mathematics that every student should be familiar with. It is widely used in mathematics and other fields, thus essential that its basics are learned. Geometry primarily deals with the study of shapes, sizes and space. This makes it popular among junior and senior education levels. This field not only makes one good in math, but also improves reasoning and problem-solving skills. For this reason, the basics of geometry should be studied and its concepts well understood.
There are several important things to know before studying geometry. These facts will provide a preview to geometry and unearth a ton of reasons to progress in this field. This article outlines four important facts that every geometry student should know. A strong foundation in math is built on these facts.
Common Geometry Formulas
Geometry formulas are the core of mastering geometry. Learning these formulas at the basic and complex levels is vital in comprehensively understanding mathematics. Some of the oldest geometry formulas include the Pythagorean theorem and Pi.
Other common formulas include:
- Area of a triangle and other polygons.
- The circumference of a circle.
- Measurements of angles in a circle.
- Angles of a polygon.
- Surface areas of different solids.
Some of the basic formulas are simple and easily understood. Students may, however, require help when dealing with the trigonometry, radians and conic sections. Homeworkdoer makes it simple for students weak in these areas. This is essential in successfully handling geometry homework and tests.
The History of Geometry
The word “geometry” in Greek means the measurements of the earth. The initial principles of geometry were developed by the Egyptians. They developed some of the geometric equations that are used in calculating the areas of various shapes, including circles. The Greeks perfected these formulas and thus are credited in geometry development. One of the ancient Greek mathematicians, Euclid, is considered as the father of geometry. This is due to his tremendous contributions in this branch of mathematics.
Branches of Geometry
Geometry is subdivided into various divisions. The major subdivisions include plane geometry and solid geometry. Plane geometry is a basic field dealing with points, lines and planes such as squares, rectangles, triangles and circles. Solid geometry, on the other hand, deals with complex calculations such as perimeter, area, and volume of geometric figures. Calculation of arc lengths and circle radii also is classified under solid geometry.
The Applications of Geometry
Geometry applications can be traced to the Babylonians and the Greeks. With the development of pi, calculation of areas of polygons and volumes of solids, geometry is applicable in a wide variety of fields. Building constructions, allocation of spaces and artwork all depend on geometry. This ensures the proportions and necessary ratios are all adhered to. This is achieved by using geometry’s most essential tools, a straight edge and a compass. A straight edge ensures that various lengths and shapes can be constructed. Drawing circles and arcs of different lengths and radius are solely dependent on a compass.
Understanding the basics of geometry is necessary for students at all levels. Knowledge of this important subject will lead to improved reasoning, problem solving and coordination. It is therefore imperative that every student strives to grasp the basics of geometry.