Perimeter and Area Exercise 6.1 Class 9 Maths NCERT Solutions

The Perimeter and Area Exercise 6.1 solutions explain every question on circles, arcs, and sectors from the new Ganita Manjari book. This page gives clear steps for the NCERT Solutions Class 9 Maths Chapter 6 Perimeter and Area Exercise 6.1, so you can check your own answers and fix mistakes fast.

• Questions solved: all 8 questions of Exercise 6.1, on circumference, arc length, and sectors
• Main skills: using C = 2π r, finding arc length, and the perimeter of a sector
• How it links: it opens the chapter and builds the base for the area work in later exercises

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 6.1 Cover?

Exercise 6.1 is the first set in Perimeter and Area, and it works with the boundary of round shapes. You find the circumference of a circle using C = 2π r, and then the length of an arc. The exercise also asks for the perimeter of a sector, which adds the two radii to the curved arc. A few questions use the idea that the circumference and the radius always stay in the same ratio.

Video Walkthrough

Source: Vedantu CBSE 10th on YouTube

Perimeter and Area Exercise 6.1 Question Breakdown

The set has eight questions that move from a single circle to shapes built from many arcs. The table below shows what each question asks.

Sample Solved Question from Exercise 6.1

Here is Question 8 from Exercise 6.1, solved step by step, so you can see the method.

Question: The ratio of the perimeters of two circles is 5:4. Find the ratio of their radii.

Step 1. Write the circumference of each circle. For radii r₁ and r₂, C₁ = 2π r₁ and C₂ = 2π r₂.

Step 2. Form the ratio of the two circumferences: C₁C₂ = 2π r₁2π r₂.

Step 3. The factor 2π is the same on top and bottom, so it cancels. This leaves C₁C₂ = r₁r₂.

Final answer. The perimeters are in 5:4, so the radii are also in the ratio 5:4.

How to Use These Perimeter and Area Exercise 6.1 Solutions

Collegedunia gives you the full Exercise 6.1 answers as short, checked steps. Solve each question on paper first, then open the solution to compare your method with ours.

• Work the sum yourself, then match every line with the Collegedunia solution.
• Keep a small formula card with C = 2π r and the arc rule beside you.
• Redo any question you got wrong the next day without looking at the 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.