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Perimeters And Areas Of Plane Figures

NIOS · Class 10 · Maths

Complete topic list for Perimeters And Areas Of Plane Figures in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.

42 questions24 flashcards5 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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4 Topics · NIOS Class 10 Maths

Topics in Perimeters And Areas Of Plane Figures

1

1. Core Formula Set for Plane Figures

  • Rectangle, square, triangle, parallelogram, rhombus, trapezium, circle, sector, and circular path are the main figures covered.
  • A rectangle uses perimeter 2(l+b) and area lb.
  • A square uses perimeter 4a, area a^2, and diagonal a√2.
2

2. Heron's Formula and Triangle Problems

  • Heron's Formula is used when the three sides of a triangle are known.
  • The semi-perimeter is not the perimeter; it is half of it.
  • Example with sides 5 cm, 6 cm, and 7 cm gives area 6√6 cm².
3

3. Rectangular Paths, Cross Paths, and Composite Rectilinear Figures

  • A rectangular path around a rectangle is found by outer area minus inner area.
  • For a path of width w around a rectangle of dimensions l × b, area = (l+2w)(b+2w) − lb.
  • Two cross paths through the middle of a rectangle have area w(l+b) − w².
4

4. Circles, Circular Paths, and Sector Formulas

  • The area of a circle is πr².
  • The circumference of a circle is 2πr.
  • Aryabhata (476–550 AD) gave π ≈ 62832/20000 = 3.1416.

Key Concepts

Central concept: Perimeter and area of plane figures

PerimeterAreaHeron's FormulaComposite plane figuresRectangular pathsCircle and circular pathSector

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 Perimeters and Areas Formula Overview, Complete Overview of Perimeters and Areas, Complete Overview of Perimeters and Areas. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Perimeters And Areas Of Plane Figures — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 42 practice questions available for this chapter. Revise formulas and 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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