Chapter 14 One-Pagers — Regular Polygons and the Circle
One page per lesson, based on the teaching plan’s terms and theorems. Each page gives the vocabulary, the key formulas, a homework helper, and common mistakes.
| Lesson | Topic | One-pager |
|---|---|---|
| 1 | Regular Polygons | Lesson 1 |
| 2 | The Perimeter of a Regular Polygon | Lesson 2 |
| 3 | The Area of a Regular Polygon | Lesson 3 |
| 4 | From Polygons to Pi | Lesson 4 |
| 5 | The Area of a Circle | Lesson 5 |
| 6 | Sectors and Arcs | Lesson 6 |
Formula map
| Result | Formula |
|---|---|
| Theorem 74 | Every regular polygon is cyclic. |
| Theorem 75 | p = 2Nr, where N = n sin(180°/n). |
| Theorem 76 | A = Mr², where M = n sin(180°/n) cos(180°/n). |
| Theorem 77 | c = 2πr |
| Corollary 77 | c = πd |
| Theorem 78 | A = πr² |
| Sector | A = (m/360)πr² |
| Arc length | L = (m/360)(2πr) |