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Circles - Circle Theorems

Maths · Grade 10 · Week 39 · 25 questions

Geometry explores the properties of shapes, angles, and spatial relationships. These visual and logical skills have applications in design, architecture, navigation, and everyday problem-solving.

What you'll practise

  • Work with angles
  • Identify and classify geometric shapes
  • Calculate angles using geometric properties
  • Apply theorems about triangles and polygons
All 25 questions in this Circles - Circle Theorems quiz

Grade 10 MathsCircles - Circle Theorems: 25 practice questions with instant scoring and explanations.

  1. Angle in semicircle:
  2. Equal chords are:
  3. Perpendicular from centre to chord:
  4. Angles in same segment:
  5. Opposite angles of cyclic quad are:
  6. Arc angle at centre vs circumference:
  7. Longest chord of circle:
  8. ∠AOB=80°(centre), ∠ACB(circumference)=
  9. ∠ACB=35°(segment), ∠ADB(same segment)=
  10. Cyclic ABCD, ∠A=70°, ∠C=
  11. Cyclic ABCD, ∠B=95°, ∠D=
  12. Cyclic ABCD, ∠A=110°, ∠C=
  13. Chord at 6cm from centre, radius 10cm. Chord length?
  14. Chord at 15cm from centre, radius 17cm. Chord length?
  15. Chord at 8cm from centre, radius 10cm. Chord length?
  16. Chord at 4cm from centre, radius 5cm. Chord length?
  17. Chord at 3cm from centre, radius 5cm. Chord length?
  18. Chord at 8cm from centre, radius 17cm. Chord length?
  19. Chord at 12cm from centre, radius 20cm. Chord length?
  20. Chord at 16cm from centre, radius 20cm. Chord length?
  21. Chord at 5cm from centre, radius 13cm. Chord length?
  22. ∠AOB=120° (centre), ∠ACB(circumference)=
  23. ∠ACB=50° (circumference), ∠AOB(centre)=
  24. Cyclic ABCD, ∠A=85°, ∠C=
  25. Cyclic ABCD, ∠D=100°, ∠B=
Question 1 of 250 correct so far

Angle in semicircle: