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Geometry

Geometry is a branch of mathematics focused on the properties and relationships of points, lines, angles, shapes, and solids in both 2D and 3D spaces. It is essential for various fields such as architecture, engineering, and physics, with basic concepts including points, lines, angles, and shapes, as well as advanced topics like coordinate geometry and trigonometry. Understanding geometry is crucial for applications in construction, design, and navigation systems.

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14 views1 page

Geometry

Geometry is a branch of mathematics focused on the properties and relationships of points, lines, angles, shapes, and solids in both 2D and 3D spaces. It is essential for various fields such as architecture, engineering, and physics, with basic concepts including points, lines, angles, and shapes, as well as advanced topics like coordinate geometry and trigonometry. Understanding geometry is crucial for applications in construction, design, and navigation systems.

Uploaded by

sodranifyo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Geometry
Geometry is the branch of mathematics that deals with the properties and
relationships of points, lines, angles, shapes, and solids. It explores both
two-dimensional (2D) and three-dimensional (3D) spaces, making it vital
for fields like architecture, engineering, art, and physics.
Basic geometry includes:
 Points (no size, just a location)
 Lines and line segments
 Angles (measured in degrees)
 Shapes like triangles, squares, circles
 Solid figures like cubes, cylinders, and spheres
A key part of geometry is understanding how shapes behave and interact.
For example, the sum of interior angles in a triangle is always 180
degrees. A circle has 360 degrees, and its area can be found using the
formula A = πr².
Example:
If a circle has a radius of 4 cm, its area is:
A = π × 4² = 16π ≈ 50.27 cm²
More advanced geometry includes coordinate geometry, where points are
placed on an x-y axis, and trigonometry, which studies the relationships
between angles and sides in triangles.
Geometry is crucial for:
 Building and construction
 Designing objects and graphics
 Navigation systems (e.g., GPS

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