Chapter 8 Topics – Chords and Arcs of a Circle
Click on any topic to expand and view its exercises. Each section includes step-by-step solutions and real-world applications.
8.1 – Properties of Chords & Arcs
Bisecting chords, perpendicular from centre, equidistant chords
New 2026
This section covers the fundamental properties of chords and arcs: the perpendicular from the centre bisects a chord, equal chords are equidistant from the centre, and congruent arcs have equal chords. You'll learn to apply these properties to solve geometric problems.
8.1
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Exercise 8.1
Chord properties & applications
8.2 – Arcs, Central Angles & Congruence
Equal arcs, equal chords, central angles, circle through three points
New 2026
This section covers the relationships between arcs, chords, and central angles. You'll learn that equal chords subtend equal angles at the centre, and that one and only one circle can pass through three non-collinear points.
8.2
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Exercise 8.2
Arcs, angles & circle through three points
Review Exercise 8
Complete revision and mixed practice problems
New 2026
The review exercise mixes questions from both sections of Chapter 8, giving you a chance to test whether you can move between topics without a hint about which method applies — a useful checkpoint before exams.
R
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Review Exercise 8
Complete Revision & Practice
Chords and Arcs of a Circle – What's Inside This Chapter (PECTAA 2026)
Chapter 8 – Chords and Arcs of a Circle is part of Class 10 Mathematics under the Revised National Curriculum 2023. Circle geometry has practical applications in design and engineering. This unit covers relationships between chords, arcs, angles, and their properties with proofs, with applications in mechanical design, architecture, and manufacturing.
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
- ✓Relationships between chords, arcs, angles, design and engineering applications
- ✓Step-by-step solved exercises for all 2 sections
- ✓Based on the PECTAA 2026 syllabus
- ✓A complete review exercise for revision
- ✓Free access, no downloads required
🌐 Why This Chapter Matters
Circle geometry has practical applications in design and engineering. This unit covers relationships between chords, arcs, angles, and their properties with proofs, with applications in mechanical design, architecture, and manufacturing.
Mastering this chapter builds a foundation for higher studies and board exam success under the PECTAA 2026 syllabus.
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Chapter 7: Trigonometry
Trigonometric identities, equations, inverse functions, and real-world applications in architecture and navigation.
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Chapter 8: Chords and Arcs of a Circle
Relationships between chords, arcs, angles, and design and engineering applications for circular geometry.
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Chapter 9: Tangent and Angles of a Circle
Tangent properties, angle relationships, and geometry and design applications with construction techniques.
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