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.

QuestionWhat it asks
Q1Find the area of a sector with a given angle
Q2Find the area of a quadrant from the circumference
Q3Find the area swept by a minute hand
Q4Find areas when a chord subtends 90 degrees
Q5Find areas when a chord subtends 60 degrees
Q6Find the area cleaned by two car wipers
Q7Find the segment area for a chord at 60 degrees
Q8Compare an inscribed equilateral triangle with the circle
Q9Compare an inscribed square with the circle
Q10Compare 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 = 60360 = 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.

Quick Tip: Treat a sector as a fraction of the circle, so you never need a separate formula. A 60 slice is 16 of the circle, and six such slices rebuild the full π r2.

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.

PageLink
Full Chapter SolutionsPerimeter and Area NCERT Solutions
Exercise 6.1Exercise 6.1 Solutions
Exercise 6.2Exercise 6.2 Solutions
Exercise 6.3Exercise 6.3 Solutions
End-of-ChapterEnd-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.