Class 9 Maths Chapter 6 – Measuring Space: Perimeter and Area | Ganita Manjari
Chapter 6 – Measuring Space: Perimeter and Area develops students’ understanding of how the boundary and area of two-dimensional shapes can be measured. The chapter begins with perimeter and uses real-life situations such as athletics tracks to introduce the measurement of curved boundaries.
Students then explore π, circumference, arc length, areas of triangles and other plane figures, Heron’s formula, the area of a circle, sectors and segments, along with Brahmagupta’s formula for a cyclic 4-gon.
Table of Contents
📅 Last Updated: August 2026
📘 Syllabus: Based on the latest CBSE Class 9 (2026–27) syllabus
✅ Updated Resources Include:
- Chapter-wise Study Notes
- Free PDF Downloads
- MCQs
Chapter Overview
| Information | Details |
|---|---|
| Class | 9 |
| Subject | Maths |
| Textbook | Ganita Manjari |
| Chapter | 6 |
| Chapter Title | Measuring Space: Perimeter and Area |
| Academic Session | 2026–27 |
| Resources | Notes, Worksheets, Questions, Tests & Revision |
📝 What You'll Learn in This Chapter
- 📏 Understand perimeter of different shapes.
- ⭕ Understand the circumference of a circle and the C/D ratio.
- 🥧 Explore π and its approximations.
- 📐 Calculate the length of an arc of a circle.
- 🏃 Apply perimeter and arc-length concepts to real-life situations, including athletics tracks.
- ◻️ Understand the area of rectangles and parallelograms.
- 🔺 Calculate the area of triangles.
- 📐 Understand the property of a median of a triangle and equal-area triangles.
- 🔢 Apply Heron’s formula to find the area of a triangle from its side lengths.
- 🔷 Explore the area of a cyclic 4-gon using Brahmagupta’s formula.
- ⭕ Understand the area of a circle.
- 🌀 Calculate the area of sectors and segments of circles.
- 🧩 Explore geometric constructions such as squaring a rectangle.
- 🧠 Solve perimeter and area problems, puzzles and applications.
🎯 Learning Outcomes
After completing this chapter, students will be able to:
- Calculate the perimeter of common plane figures.
- Use the relationship between circumference and diameter to understand π.
- Calculate the circumference and arc length of a circle.
- Apply perimeter concepts to practical situations.
- Calculate the area of rectangles, parallelograms and triangles.
- Use the fact that a median divides a triangle into two equal-area triangles.
- Use Heron’s formula to find the area of a triangle when its three sides are known.
- Apply Brahmagupta’s formula to find the area of a cyclic 4-gon.
- Calculate the area of a circle and explain the formula .
- Calculate the area of a sector and segment of a circle.
- Apply measurement formulas to solve multi-step and real-life problems
📌 Key Topics
- Perimeter of a Shape
- Perimeter of a Circle – The C/D Ratio
- π Is Irrational
- Length of an Arc of a Circle
- Perimeter Problems, Puzzles and Paradoxes
- Area of a Rectangle
- Area of a Parallelogram
- Area of a Triangle
- Heron’s Formula
- Area of a Cyclic 4-gon – Brahmagupta’s Formula
- Special Cases and Generalisation
- Squaring a Rectangle
- Area of a Circle
- Area of a Sector
- Area of a Segment
- Perimeter and Area Applications
⭐ Class 9 Maths Chapter 6 Study Resources
🧬 Diagrams
Coordinate graphs, geometric figures and visual representations to help understand the chapter.
📌 Important Questions
Most important questions to prepare for exams and chapter revision.
🎯 Competency-Based Questions
Application-focused questions designed to develop deeper understanding.
🎁 Free Class 9 Worksheets
Practise perimeter, circumference, area, arc length, Heron’s formula and related concepts with our free printable Chapter 6 worksheet.
Class 9 Maths – Chapter 6: Free Sample Worksheet10 Questions + Answer Key
NCERT Exercise Solutions – Ganita Manjari
Practise the questions from Chapter 6 and check your answers with our step-by-step solutions.
EX 6.1
EX 6.2
EX 6.3
End-of-Chapter Exercises
Why Students Choose Our Class 9 Maths Resources?
2026–27 Focused
Printable PDFs
Original Practice
Chapter-Wise Resources
Mobile Friendly
Answer Keys
❓FAQ
Q1. What textbook is used for Class 9 maths in 2026–27?
The new NCERT Ganita Manjari textbook is used for Class 9 Maths for the 2026–27 academic session.
Q2. Which chapter is this page about?
This page is about Chapter 6 – Measuring Space: Perimeter and Area from Ganita Manjari.
Q3. Are these NCERT textbook copies?
No. The study resources and practice materials on this page are supplementary resources created to support students’ learning. The NCERT textbook itself is not reproduced here.
Q4. Are the worksheets free?
Explain which resources are free and which may be available as complete practice resources.
Q5. Are answer keys included?
Explain depending on the particular resource.
Q6. Are these resources suitable for school revision?
Yes.
Q7. Will more Chapter 6 resources be added?
More Class 9 Maths Chapter 6 resources may be added in the future to provide additional practice and revision support.
Q8. How many exercise sets are there in Chapter 6?
Chapter 6 has three exercise sets: EX 6.1, EX 6.2 and EX 6.3, followed by a separate End-of-Chapter Exercises section.
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