The 8 Circle Theorems, Proved in One Video #geometry #maths #gcsemaths

Eight circle theorems that students usually memorize, one by one. Here's how to prove every single one from scratch, using two simple ideas (two radii make an isosceles triangle; a triangle's angles add to 180°) plus Pythagoras. 0:00 Intro 0:26 The tools 1:20 Theorem 1: the angle at the center 2:52 Theorem 2: the angle in a semicircle 3:13 Theorem 3: angles in the same segment 3:56 Theorem 4: cyclic quadrilaterals 4:35 Theorem 5: the chord bisector 5:19 Theorem 6: tangent and radius 6:02 Theorem 7: two tangents 6:34 Theorem 8: the alternate segment 7:27 The map: two ideas plus Pythagoras For GCSE / IGCSE / A-level, Common Core geometry, SAT and IB students, teachers and tutors. Which proof surprised you most? Tell me in the comments, and subscribe for more geometry, built from first principles! 👇 Animations coded in manim; narration by a synthetic voice (Kokoro-82M). #circletheorems #geometry #maths #gcsemaths #inscribedangle #mathematics #igcse #sat