Mathematics Class 10
Areas Related to Circles
Sector and segment areas, arc length, and how circle pieces build real designs.
11 lessons · ~85 min total
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Lessons in this topic
- 0 Start here A roadmap: the share of a turn, the triangle under a chord, and designs built from circle pieces. · 4 min You are here
- 1 The share again Arc length and sector area as a share of the turn, with one π from start to finish. · 8 min
- 2 Take the triangle away A chord closes a triangle inside a sector under a half turn, and the minor segment is the sector minus it. · 8 min
- 3 Three angles, three triangles At 60°, 90° and 120° the triangle under a chord builds from facts you already own. · 9 min
- 4 The quarter-turn segment The 90° segment measured exactly, and the walk round its edge — an arc plus a chord. · 8 min
- 5 The twin segments The 60° and 120° triangles come out equal in area, and √3 stays in the answer. · 9 min
- 6 Reading a design into pieces A design with no formula of its own splits into pieces that do, one of them round. · 8 min
- 7 The design decides The same square and semicircle give two different totals — the boundary decides add or subtract. · 8 min
- 8 Walking the boundary The edge of a finished design, where arcs and straight edges take turns and a join is skipped. · 8 min
- 9 The big picture The whole chapter on one screen. · 6 min
- 10 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 9 min
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