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Area and Perimeter of Plane Figures — Chapter Summary

ICSE · Class 9 · Mathematics

Summary of Area and Perimeter of Plane Figures for ICSE Class 9 Mathematics. Part of the ICSE Class 9 Mathematics syllabus.

45 questions31 flashcards14 formulas & key relations5 concepts

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A visual comparison defining perimeter as the length of the boundary and area as the measure of the surface enclosed by the boundary, using simple geometric shapes like a square and a rectangle.
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Overview

Perimeter is the length of the boundary of a plane figure, and area is the measure of the surface enclosed by that boundary. Perimeter is measured in units of length such as cm or m, while area is measured in square units such as cm² or m². The chapter builds the skill of finding area and perimeter

Key Concepts

Perimeter is the length of

Perimeter is the length of the boundary of a plane figure. Its unit is the same as the unit of length, such as cm or m.

Area is the measure of

Area is the measure of the surface enclosed by the boundary of a plane figure. It is measured in square units.

Area of triangle = 1/2 ×

Area of triangle = 1/2 × base × corresponding height (altitude). Any side of a triangle can be taken as the base, and the matching perpendicular is th

Area = √(s(s

Area = √(s(s-a)(s-b)(s-c)), where s = (a+b+c)/2. It is used when all three sides are known.

All sides are equal

All sides are equal. Perimeter = 3a and Area = (√3/4)a², where a is the side.

Learning Objectives

  • Define perimeter and area correctly and distinguish between their units.
  • Use the area formula of a triangle with base and corresponding height.
  • Apply Heron's formula when the three sides of a triangle are known.
  • Solve area problems for equilateral, isosceles, and right-angled triangles.
  • Find area and perimeter of rectangles, squares, parallelograms, rhombuses, trapeziums, and circles.

Frequently Asked Questions

What are the important topics in Area and Perimeter of Plane Figures for ICSE Class 9 Mathematics?
Key topics in Area and Perimeter of Plane Figures include Basic Ideas and Units, Area of Triangles, Circle: Circumference, Area, and Rotation. Study these first, then practise questions on each for Class 9 exams.
How should I revise Area and Perimeter of Plane Figures for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Area and Perimeter 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.

More resources for Area and Perimeter of Plane Figures

All ICSE Class 9 Mathematics Chapter Summary

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