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Concept Maps

Perimeters And Areas Of Plane Figures — Concept Maps

NIOS · Class 10 · Maths

4 concept maps of Perimeters And Areas Of Plane Figures for NIOS Class 10 Maths, each also written out as a text outline.

42 questions24 flashcards17 formulas & key relations5 concepts

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An infographic summarizing the perimeter and area formulas for common 2D geometric shapes like rectangles, squares, parallelograms, triangles, rhombuses, trapeziums, and circles. Each figure should be
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One of 7 illustrations for Perimeters And Areas Of Plane Figures in Super Tutor — alongside flashcards, concept maps and practice questions.

4 Concept Maps

Perimeters and Areas Formula Overview

Perimeters and Areas Formula Overview

The map in words

  • Perimeters and Areas
    • Basic Shapes
      • Rectangle
        • Perimeter 2l plus b
        • Area l times b
      • Square
        • Perimeter 4a
        • Area a squared
      • Triangle
        • Perimeter a plus b plus c
        • Area half base times height
        • Herons Formula
    • Advanced Shapes
      • Circle
        • Circumference 2 pi r
        • Area pi r squared
      • Sector
        • Arc length formula
        • Sector area formula
      • Paths
        • Rectangular paths
        • Circular paths
    • Composite Figures
      • Addition method
      • Subtraction method
      • Mixed shapes

Complete Overview of Perimeters and Areas

Complete Overview of Perimeters and Areas

The map in words

  • Perimeters and Areas
    • Basic Figures
      • Rectangle
        • Perimeter 2(l+b)
        • Area l×b
      • Square
        • Perimeter 4a
        • Area a²
      • Triangle
        • Basic Area ½bh
        • Heron Formula
      • Circle
        • Circumference 2πr
        • Area πr²
    • Special Cases
      • Rectangular Paths
        • Around Rectangle
        • Cross Paths
      • Circular Paths
        • Ring Area
        • π(R²-r²)
      • Sectors
        • Arc Length
        • Sector Area
        • Perimeter
    • Combinations
      • Component Analysis
      • Addition Method
      • Subtraction Method
      • Mixed Figures

Complete Overview of Perimeters and Areas

Complete Overview of Perimeters and Areas

The map in words

  • Perimeters & Areas
    • Rectilinear Figures
      • Rectangle
        • P = 2(l+b)
        • A = l×b
      • Square
        • P = 4a
        • A = a²
      • Triangle
        • P = a+b+c
        • A = ½×b×h
        • Herons Formula
      • Parallelogram
        • A = base × height
      • Trapezium
        • A = ½（a+b）×h
    • Circular Figures
      • Circle
        • C = 2πr
        • A = πr²
      • Sector
        • Arc length = πrθ/180
        • Area = πr²θ/360
      • Ring
        • Area = π(R²-r²)
    • Composite Figures
      • Rectangular Paths
        • Outside path
        • Inside path
        • Cross paths
      • Combination Shapes
        • Circle + Square
        • Multiple circles
        • Cutout problems

Perimeter and area of plane figures

Perimeter and area of plane figures

The map in words

  • Perimeter and area of plane figures
    • Perimeter
    • Area
    • Heron's Formula
    • Composite plane figures
    • Rectangular paths
    • Circle and circular path
    • Sector

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Frequently Asked Questions

What are the important topics in Perimeters And Areas Of Plane Figures for NIOS Class 10 Maths?
Key topics in Perimeters And Areas Of Plane Figures include Core Formula Set for Plane Figures, Heron's Formula and Triangle Problems, Rectangular Paths, Cross Paths, and Composite Rectilinear Figures, Circles, Circular Paths, and Sector Formulas. Study these first, then practise questions on each for the NIOS Class 10 board exam.
What do the concept maps for Perimeters And Areas Of Plane Figures show?
The 4 maps show how the ideas in Perimeters And Areas Of Plane Figures connect: Perimeters and Areas Formula Overview; Complete Overview of Perimeters and Areas. Each map is also written out as an outline on this page.
How should I revise Perimeters And Areas Of Plane Figures for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 42 practice questions on Perimeters And Areas Of Plane Figures. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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