Course description

The book explores polygons systematically, starting with their fundamental definition—a closed plane figure with at least three straight sides. It then builds on this foundation through structured content:

  • Classification & Properties
    Explains differences between regular, irregular, convex and concave polygons; covers naming conventions using Greek prefixes and outlines formulae for angle measures.

  • Angle Relations
    Derives the important result for interior angles: sum = (n–2)×180°, and shows that exterior angles always sum to 360°. Includes step-by-step examples for hexagons and other n-gons.

  • Diagonals and Triangles
    Presents the formula for diagonals n(n–3)/2 and discusses how an n-gon can be partitioned into (n–2) triangles—emphasizing applications in area calculations.

  • Perimeter & Area
    Integrates standard formulae (e.g., perimeter = n × s for regular polygons) and offers guidance on deriving area using triangle partitioning for simple polygons, along with worked-out numeric examples.

  • Special Quadrilaterals
    Dedicates a section to polygons like parallelograms, rectangles, rhombi, squares, trapezoids and kites—highlighting key properties and differences between them.

  • Real‑world Applications & Practice
    Enriches the theory with practice problems, illustrative quizzes, and everyday examples—showing where polygons appear in architecture, design, and engineering contexts.

  • Worked Examples & Formulas
    Each topic is supported by clear derivations and worked solutions. Formulae are tabulated for quick reference—ideal for NCERT and exam preparation.

Through its structured approach, the book helps students progress from basic definitions to problem-solving, suitable for both classroom learning and self-study.

What will i learn?

Requirements

  • Get complete ebook Rs. 35 or ask for the printed version by sending mail to edusys.in@gmail.com.

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Edusys

24-Jun-2025

5

Super helpful book! It starts from the very basics and slowly builds up in a way that just makes sense. The formulas are explained properly, not just thrown at you. Loved how they broke down things like angle sums and diagonals with proper logic. The section on special quadrilaterals was really neat—it cleared up all the confusion I had between rhombus and rectangle. Also, the worked examples and practice questions made it easier to revise. The real-world uses were a bonus too—never thought polygons showed up so much in real life! Definitely one of those books that actually makes geometry less boring.

Free

Lectures

1

Skill level

Beginner

Expiry period

Lifetime

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