The NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area cover every question from the new Ganita Manjari book. This chapter shows how to measure the boundary and the space inside flat shapes. You learn the circumference of a circle, the area of triangles, and the area of sectors.
Chapter 6 Perimeter and Area — Exercise-wise NCERT Solutions
- Exercises solved: Exercise Set 6.1, 6.2, 6.3, and all 27 End-of-Chapter problems
- Main skills: circumference, arc and sector length, and area by Heron's formula
- Why it matters: it builds the base for mensuration and areas in Class 10
These solutions are prepared by subject teachers, matched to the current 2026-27 NCERT, and checked step by step so a Class 9 student can follow each line.
What Does Class 9 Maths Chapter 6 Perimeter and Area Cover?
Perimeter is the distance around a shape. Area is the flat space it covers. Chapter 6 starts with the circle, where the perimeter is called the circumference, C = 2π r. It then moves to triangles, trapeziums, and rhombuses, and finds their area. The NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area also cover arcs, sectors, and shaded regions built from circles and squares.
Video Walkthrough
Source: Vedantu CBSE 10th on YouTube
Class 9 Maths Chapter 6 Perimeter and Area Exercise-Wise Breakdown
The chapter has three exercise sets and one long End-of-Chapter set. The table below shows what each part asks, so you can plan your practice.
| Exercise | Questions | What it covers |
|---|---|---|
| Exercise Set 6.1 | 8 | Circumference, arc length, and perimeter of sectors |
| Exercise Set 6.2 | 11 | Area of triangles, trapeziums, and equal-area proofs |
| Exercise Set 6.3 | 10 | Area of sectors and shapes inside a circle |
| End-of-Chapter Exercises | 27 | Heron's formula, wheels, shaded regions, and fractions |
Common Mistakes Students Make in Perimeter and Area
Most errors in this chapter come from small slips, not hard ideas. Fix these early and your marks stay safe.
- Using the diameter in place of the radius in a circle formula.
- Forgetting to write square units for area and simple units for perimeter.
- Skipping the θ360 fraction while finding an arc or a sector.
Sample Solved Question from Class 9 Maths Chapter 6
Here is one Exercise 6.1 question, solved step by step, so you can see the method.
Question: The perimeter of a circle is 44 cm. What is its radius?
Step 1. The perimeter of a circle is its circumference. Write the formula C = 2π r.
Step 2. Put in C = 44 and π = 227. This gives 44 = 2 × 227 × r.
Step 3. Simplify the constant on the right to get 44 = 447 r.
Final answer. Solve for r: r = 44 × 744 = 7 cm.
How to Study Perimeter and Area and Time Needed
This chapter has many formulas, so keep a short formula list beside you. Start with the three exercise sets, then use the NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area to check your End-of-Chapter answers.
Revision mode
2-3 hours
If you have done this chapter once and are revising.
First-read
6-8 hours
If you are reading Perimeter and Area for the first time.
How will Collegedunia's NCERT Solutions Help You with Perimeter and Area?
Collegedunia gives you the full NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area as clean, step-by-step answers in one place.
- 2026-27 Ganita Manjari match: Every answer follows the new book, not the old chapter list.
- Full working shown: Each step is written out, so you never guess how a line was reached.
- Teacher checked: Subject experts verify each formula, area, and diagram.
- Free PDF: Download the solutions and revise offline before your exam.
More Perimeter and Area Maths Class 9 Resources
NCERT Solutions for Class 9 Maths: All Chapters
Use the table below to open the NCERT Solutions for any other chapter of the new Class 9 Maths book.
| Chapter | Resource |
|---|---|
| Chapter 1 | Coordinates NCERT Solutions |
| Chapter 2 | Linear Polynomials NCERT Solutions |
| Chapter 3 | The World of Numbers NCERT Solutions |
| Chapter 4 | Algebraic Identities NCERT Solutions |
| Chapter 5 | Circles NCERT Solutions |
| Chapter 6 | Perimeter and Area NCERT Solutions |
| Chapter 7 | Introduction to Probability NCERT Solutions |
| Chapter 8 | Sequences and Progressions NCERT Solutions |
Perimeter and Area Class 9 Maths NCERT Solutions FAQs
Ques. Where can I download Perimeter and Area Class 9 Maths NCERT Solutions PDF?
Ans. You can download the Perimeter and Area Class 9 Maths NCERT Solutions PDF directly from this page. Both the Normal and HD versions are free.
Ques. Is this chapter part of the new Class 9 Maths book?
Ans. Yes. Perimeter and Area is Chapter 6 of the new Ganita Manjari book for the 2026-27 syllabus. It brings circle, triangle, and mensuration topics together.
Ques. How many exercises are there in Class 9 Maths Chapter 6?
Ans. There are three exercise sets, 6.1, 6.2, and 6.3, and a set of 27 End-of-Chapter problems. Collegedunia solves all of them.
Ques. Which formulas should I remember for this chapter?
Ans. Keep the circumference 2π r, the area of a circle π r2, the sector rules, and Heron's formula ready. Most questions use one of these.
Ques. Is the Class 9th Maths Perimeter and Area solutions PDF hard to follow?
Ans. No. Each answer is written in short steps with a diagram where needed, so a Class 9 student can read it on the first try.
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