Circles
A wheel, a coin and the rim of a glass are all circles, and every point on them is the same distance from the centre. That one fact leads to many theorems. In this chapter you study chords and the angles they make, the four-sided figures that fit inside a circle, and the tangents that touch a circle at a single point. Python draws circles and checks each theorem on hundreds of random cases.
Part of Mathematics · High School (9–10) (chapter 12)
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Chords, Arcs and the Angles They Make
The parts of a circle, and how chords and the centre are related. Equal chords, the perpendicular from the centre, and the angle that an arc makes at the centre and at the rim.
Cyclic Quadrilaterals
A four-sided figure with all its corners on a circle. Why its opposite angles add to 180 degrees, how to tell whether a quadrilateral is cyclic, and problems that use these facts.