The Perimeter and Area Exercise 6.3 solutions cover the area of sectors and shapes drawn inside a circle from the new Ganita Manjari book. This page gives clear steps for the NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area Exercise 6.3, so you can check your own answers and handle each sector sum with confidence.
- Questions solved: all 10 questions of Exercise 6.3, on sectors and circle regions
- Main skills: the sector area rule, the area of a quadrant, and inscribed shapes
- How it links: it applies the area idea from 6.2 to curved regions of a circle
These solutions are written by subject teachers, matched to the 2026-27 NCERT book, and checked line by line so a Class 9 student can follow each step.
What Does Class 9 Maths Chapter 6 Perimeter and Area Exercise 6.3 Cover?
Exercise 6.3 is about the area of a sector, which is a pie-slice part of a circle. You find this area as the fraction θ360∘ of the whole circle area π r2. The set also covers a quadrant, the region swept by a clock hand, and areas cleaned by wipers. The last few questions ask you to compare a shape inscribed in a circle with the circle itself.
Video Walkthrough
Source: Vedantu CBSE 10th on YouTube
Perimeter and Area Exercise 6.3 Question Breakdown
The set has ten questions that move from a plain sector to shapes fitted inside a circle. The table below shows what each question asks.
| Question | What it asks |
|---|---|
| Q1 | Find the area of a sector with a given angle |
| Q2 | Find the area of a quadrant from the circumference |
| Q3 | Find the area swept by a minute hand |
| Q4 | Find areas when a chord subtends 90 degrees |
| Q5 | Find areas when a chord subtends 60 degrees |
| Q6 | Find the area cleaned by two car wipers |
| Q7 | Find the segment area for a chord at 60 degrees |
| Q8 | Compare an inscribed equilateral triangle with the circle |
| Q9 | Compare an inscribed square with the circle |
| Q10 | Compare an inscribed hexagon with the circle |
Sample Solved Question from Exercise 6.3
Here is Question 1 from Exercise 6.3, solved step by step, so you can see the method.
Question: Find the area of a sector of a circle with radius 7 cm if the angle of the sector is 60∘.
Step 1. A sector is a fraction of the whole circle. Write the fraction as θ360∘ = 60∘360∘ = 16.
Step 2. Put the values in the sector rule θ360∘× π r2 = 16× 227× 72.
Step 3. Simplify 227× 49 = 22 × 7 = 154.
Final answer. Area = 1546 ≈ 25.67 sq cm.
How to Use These Perimeter and Area Exercise 6.3 Solutions
Collegedunia gives you the full Exercise 6.3 answers as short, checked steps. Solve each question on paper first, then open the solution to compare your method with ours.
- Write the fraction θ360∘ before you touch the arithmetic in any sector sum.
- Keep the sector rule and the area of a circle on a small formula card.
- Redo any question you got wrong the next day without looking at the Collegedunia steps.
More Class 9 Maths Perimeter and Area Solutions
Use the table below to open the full chapter page or any other exercise of Perimeter and Area.
| Page | Link |
|---|---|
| Full Chapter Solutions | Perimeter and Area NCERT Solutions |
| Exercise 6.1 | Exercise 6.1 Solutions |
| Exercise 6.2 | Exercise 6.2 Solutions |
| Exercise 6.3 | Exercise 6.3 Solutions |
| End-of-Chapter | End-of-Chapter Solutions |
Perimeter and Area Exercise 6.3 NCERT Solutions FAQs
Ques. How many questions are there in Class 9 Maths Chapter 6 Exercise 6.3?
Ans. Exercise 6.3 has 10 questions on the area of sectors and shapes inside a circle. Collegedunia solves all of them with full steps.
Ques. Where can I download the Exercise 6.3 solutions PDF?
Ans. You can download the Perimeter and Area Exercise 6.3 solutions PDF from this page. Both the Normal and HD versions are free.
Ques. Which formula do I need for the sector questions?
Ans. Use the sector area θ360∘× π r2. A quadrant is one-fourth of the circle, so its area is 14π r2.
Ques. Is Exercise 6.3 useful for the Class 9 annual exam?
Ans. Yes. Sector and segment sums are common in the Class 9 annual exam, and this exercise also prepares you for area work in Class 10.








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