Stage 18 · Circles

18.1.5 Putting the Perpendicular Diameter to Work

18.1 What Is a Circle — Definition and the Secret of Symmetry

Point 5 of 5

18.1.5 Putting the Perpendicular Diameter to Work

Core idea

Knowing the chord's length and how far the center sits from it, you join up a right triangle and use the Pythagorean theorem to find the radius r.

Module goal. Start from the one core idea — every point the same distance from a fixed center — to understand the circle, then unearth its most powerful weapon, symmetry, laying the foundation for every theorem to come.
eastmath.com · 18.1 What Is a Circle — Definition and the Secret of Symmetry · 18.1.5 Putting the Perpendicular Diameter to Work