Class 9 Maths Chapter 5 – I’m Up and Down, and Round and Round | Ganita Manjari
Chapter 5 – I’m Up and Down, and Round and Round explores the geometry of circles and circular figures. The chapter begins with familiar circular shapes found in nature and develops formal ideas about circles, their properties and relationships.
Students investigate chords, circumcircles, angles, arcs and cyclic figures, using activities, constructions, theorems and geometric reasoning
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 | 5 |
| Chapter Title | I’m Up and Down, and Round and Round |
| Academic Session | 2026–27 |
| Resources | Notes, Worksheets, Questions, Tests & Revision |
📝 What You'll Learn in This Chapter
- ⭕ Understand the definition and basic properties of a circle.
- 📍 Identify the centre, radius, chord and diameter of a circle.
- 📐 Explore the locus of points equidistant from a given point.
- 🔵 Understand circles passing through two given points.
- 🔺 Construct and understand the circumcircle of a triangle.
- 📍 Locate the circumcentre of a triangle.
- 📏 Explore the relationship between chords and angles at the centre.
- 📐 Study midpoints and perpendicular bisectors of chords.
- 📏 Understand the relationship between chord length and distance from the centre.
- 🌀 Explore arcs and the angles they subtend.
- 📐 Understand the relationship between the angle subtended by an arc at the centre and at a point on the circle.
- ⭕ Understand why the angle subtended by a diameter is 90°.
- 🔗 Explore concyclic points.
- 🔷 Understand cyclic quadrilaterals and their angle properties.
- 🧠 Apply circle theorems to solve geometric problems.
🎯 Learning Outcomes
After completing this chapter, students will be able to:
- Define a circle and identify its important elements.
- Explain the relationship between the centre, radius, chord and diameter.
- Construct and identify the circumcircle and circumcentre of a triangle.
- Explain properties of chords and their distances from the centre.
- Use theorems involving equal chords and equal angles.
- Explain why a perpendicular from the centre to a chord bisects the chord.
- Determine relationships between the lengths of chords and their distances from the centre.
- Apply the theorem relating angles subtended by an arc at the centre and on the circle.
- Use the fact that an angle subtended by a diameter is 90°.
- Identify concyclic points and cyclic quadrilaterals.
- Apply circle theorems to solve problems and justify geometric statements.
📌 Key Topics
- Circle – Definition and Basic Terms
- Centre, Radius, Chord and Diameter
- Locus of Points
- Circles Through Two Points
- Circles Through Three Points
- Circumcircle of a Triangle
- Circumcentre
- Chords and the Angles They Subtend
- Equal Chords and Equal Angles
- Midpoints and Perpendicular Bisectors of Chords
- Equal Chords and Their Distance from the Centre
- Longer Chords and Their Distance from the Centre
- Arcs of a Circle
- Angles Subtended by Arcs
- Angle Subtended by a Diameter
- Concyclicity of Points
- Cyclic Quadrilaterals
⭐ Class 9 Maths Chapter 5 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 linear polynomials and related concepts with our free printable Chapter 5 worksheet, including an answer key.
Class 9 Maths – Chapter 5: Free Sample Worksheet10 Questions + Answer Key
NCERT Exercise Solutions – Ganita Manjari
Practise the questions from Chapter 5 and check your answers with our step-by-step solutions.
EX 5.4
EX 5.5
EX 5.56
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 5 – I’m Up and Down, and Round and Round 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 5 resources be added?
More Class 9 Maths Chapter 5 resources may be added in the future to provide additional practice and revision support.
Q8. How many exercise sets are there in Chapter 5?
Chapter 5 has six exercise sets, EX 5.1 to EX 5.6, followed by a separate End-of-Chapter Exercises section.
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