Topic summary · Foundation · CIE Core
Circle Properties summary
Circle properties at foundation level focus on radius, diameter, chord language and basic angle facts before full theorem proofs.
Files: foundation-23 Circle Properties handout.pdf · foundation-23 Circle Properties handout answers.pdf · free public downloads · diagrams in the PDFs
Key learning points
- Radius is constant from centre to circumference.
- Perpendicular from centre to a chord bisects the chord.
- Distinguish chord, arc, sector and segment in diagrams.
Worked example 1 — Angle in a semicircle
Angle at the circumference in a semicircle?
Working
Angle in a semicircle is a right angle.
Worked example 2 — Chord bisector
Perpendicular from centre to a chord does what?
Working
Standard circle property.
Worked example 3 — Tangent-radius
Angle between tangent and radius?
Working
Tangent ⊥ radius.
Scaffolded Learning Sheet and answers (PDFs)
This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.