Chapter 10 Topics – Practical Geometry of Circles
Click on any topic to expand and view its exercises. Each section includes step-by-step solutions and real-world applications.
10.1 – Circle Constructions
Locating centre, circle through three points, completing arcs
This section covers locating the centre of a circle using perpendicular bisectors of chords, constructing a circle through three non-collinear points, and completing a circle from a given arc (with and without finding the centre).
Circle constructions & arc completion
10.2 – Tangents to Circles
Tangents from points, tangents meeting at an angle
This section covers constructing tangents to circles from points on and outside the circle, tangents to arcs from various positions, and drawing two tangents that meet at a given angle.
Tangent constructions & angle problems
Review Exercise 10
Complete revision and mixed practice problems
The review exercise mixes questions from both sections of Chapter 10, giving you a chance to test whether you can move between topics without a hint about which method applies — a useful checkpoint before exams.
Complete Revision & Practice
Practical Geometry of Circles – What's Inside This Chapter
Chapter 10 – Practical Geometry of Circles is part of Class 10 Mathematics under the Revised National Curriculum 2023. Practical geometry involves constructing circle-related figures. This unit covers geometric constructions involving circles, tangents, and inscribed figures with step-by-step methods for technical drawing, CAD applications, and engineering design.
Prepared by Muhammad Tayyab, Govt Christian High School Daska, this chapter's notes cover all 2 exercises plus the review exercise, with step-by-step solutions throughout.
✅ What This Chapter Covers
- ✓Geometric constructions, tangents, inscribed figures, step-by-step methods
- ✓Step-by-step solved exercises for all 2 sections
- ✓Based on the PECTAA syllabus
- ✓A complete review exercise for revision
- ✓Free access, no downloads required
🌐 Why This Chapter Matters
Practical geometry involves constructing circle-related figures. This unit covers geometric constructions involving circles, tangents, and inscribed figures with step-by-step methods for technical drawing, CAD applications, and engineering design.
Mastering this chapter builds a foundation for higher studies and board exam success.
Related Chapter 10 Resources
📖 Definitions
Key terms and theorems for Chapter 10.
🧮 Formula Sheet
Construction formulas at a glance.
✅ Chapter MCQs
Practice multiple choice questions.
🎯 Guess Paper
Important questions predicted for exams.
🗂️ Past Papers
Solved previous board papers.
📔 Math Key Book
Full solution guide for all chapters.