Circle Geometry
eleven difficulty levels, diagrams to scale, worked solutions, click to reveal
Difficulty
Give answers exactly, fully simplified. Level 11 (two circles) is an
extension
, not in Mixed.
1 · Centre, radius and equation
2 · Completing the square
3 · Equation from given points
4 · Points and axes
5 · Line meets circle
6 · Tangents and normals at a point
7 · Tangency: the discriminant
8 · Perpendicular bisectors and chords
9 · Tangents from an external point
10 · Circles and triangles
11 · Two circles
Extension
Mixed 1–10
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