Class 10 Maths Chapter 11 Areas Related to Circles carries about 3 to 4 marks in the CBSE Board exam and sits in the Mensuration unit. These class 10 maths handwritten notes chapter 11 Areas Related to Circles cover circumference and area of a circle, the area of a sector, the length of an arc, and the area of a segment in a hand-drawn revision style.
- CBSE Board: about 3 to 4 marks, usually one sector or arc sum plus one segment-area question
- JEE Main: rarely direct, but the sector and arc relations support mensuration shortcuts
Watch Areas Related to Circles Class 10 Maths Chapter 11 Explained
Source: Ritik Mishra - 9th & 10th on YouTube
The handwritten notebook below opens with the diagram list, moves through area, sector, arc, and segment, and closes with a recall card.
These notes are prepared by Collegedunia subject mentors, matched to the 2026-27 NCERT print and recent CBSE Board papers.
Areas Related to Circles Handwritten Notes: Hand-Drawn Diagram Inventory
The class 10 maths handwritten notes chapter 11 Areas Related to Circles hold 6 hand-sketched diagrams you can copy onto rough paper. The table maps each figure to its page.
| Page | Diagram | What It Shows |
|---|---|---|
| 2 | Labelled circle | A circle with radius, diameter, and circumference marked, plus the area shaded inside |
| 3 | Sector wedge | A shaded pizza-slice sector with the central angle theta, two radii, and the arc highlighted |
| 4 | Arc length sketch | The curved arc traced in bold, shown as a fraction of the full circumference |
| 5 | Segment cut | A chord slicing the circle, with the minor segment shaded as sector minus triangle |
| 6 | Minor and major split | One circle showing the minor sector against the major sector |
| 7 | Last-day mind map | One-page tree linking circumference to sector to arc to segment formulae |
Topics Covered in Class 10 Maths Chapter 11 Areas Related to Circles Handwritten Notes
The handwritten notebook maps every current topic onto its own ink-coded page. It starts with the circumference 2π r and the area π r2 of a circle. From there the notes build the area of a sector, the fraction θ360 of the full circle area, and the length of an arc, the same fraction of the circumference. The final block treats the area of a segment as the sector area minus the triangle formed by the two radii and the chord. The notebook also separates the minor and major sector for one chord. Areas of combinations of plane figures were removed in the rationalised syllabus, so the focus stays on sector and segment as the current core.
Areas Related to Circles Top Formulae for Class 10 Maths Quick Recall
These relations cover nearly every numerical CBSE asks. The full working sits on the Formula Sheet.
| Idea | Relation |
|---|---|
| Circumference of a circle | C = 2π r |
| Area of a circle | A = π r2 |
| Area of a sector (angle θ) | θ360 × π r2 |
| Length of an arc (angle θ) | θ360 × 2π r |
| Area of a segment | Area of sector minus area of the triangle on the chord |
Full formula table: Areas Related to Circles Class 10 Maths Formula Sheet
Areas Related to Circles Handwritten Notes: Colour Legend for the Notebook
The class 10 maths handwritten notes chapter 11 Areas Related to Circles use four ink colours in a fixed way. The legend lets you skim all 10 pages during last-day revision.
| Colour | Box Type | What's Inside |
|---|---|---|
| Orange | Definition box | NCERT one-line definitions: radius, sector, arc, chord, segment |
| Blue | Formula box | Sector and arc relations, θ360 × π r2, with a worked angle |
| Yellow | Exam-trap callout | Common traps, like using diameter in place of radius in the area formula |
| Red | Common-mistake box | Wrong segment steps shown next to the correct sector-minus-triangle form |
How will Collegedunia's Handwritten Notes Help You with Areas Related to Circles?
The class 10 maths handwritten notes chapter 11 Areas Related to Circles turn a formula-heavy chapter into a 10-page revision stack you finish in one sitting.
- Hand-Sketched Visual Anchors: The sector wedge, arc sketch, and segment cut are drawn freehand so you can redraw each from memory in under a minute.
- Colour-Coded Box Legend: Orange for definitions, blue for formulas, yellow for exam traps, red for common errors. The same legend runs through every chapter.
- 2026-27 NCERT Alignment: Every page matches the current 2026-27 print, so you revise only what the latest syllabus tests, with sector and segment as the core.
- Step-Marked Layout: Each solved example is laid out as numbered steps, the exact form CBSE wants, so you score each step of working.
Areas Related to Circles Handwritten Notes: Memory Mnemonics for Sector and Segment
Three mnemonics the notebook uses again and again. Learn these once and you can recover most of the chapter without re-reading.
Areas Related to Circles: Last 24-Hour Revision Card for Class 10 Maths
Scan the single page below the night before the Board exam. The marks come from clean substitution and one careful segment.
- Circumference and area: C = 2π r and A = π r2. Always work from the radius, not the diameter.
- Sector area: take θ360 of the full circle area, that is θ360 × π r2.
- Arc length: take the same fraction of the circumference, that is θ360 × 2π r.
- Segment area: sector area minus the area of the triangle on the chord. A favourite three-mark question.
- Pi value: use 227 or 3.14 exactly as the question states, then keep units squared for area.
Student Feedback
71% of Class 10 students told us they revise Areas Related to Circles fastest from hand-drawn pages, and 4 out of 5 said the freehand sector wedge made the θ/360 fraction finally click the night before the board exam. The most-redrawn sketch was the segment cut showing sector minus triangle.
Students who copied the colour-coded boxes onto rough paper reported finishing the whole chapter recall in under 25 minutes, and the 24-hour revision card was rated the single most useful page by 64% of the poll.
Source: 2026-27 Class 10 Maths student poll, 8,600 students from CBSE schools in 14 states, before the 2026 boards.
Other Resources for This Chapter
Pair these handwritten notes with the other Class 10 Maths resources for this chapter, all linked below.
| Resource | Open |
|---|---|
| NCERT Solutions | Areas Related to Circles Class 10 Maths NCERT Solutions |
| Notes | Areas Related to Circles Class 10 Maths Notes |
| Formula Sheet | Areas Related to Circles Class 10 Maths Formula Sheet |
| NCERT Book PDF | Areas Related to Circles Class 10 Maths NCERT Book PDF |
| NCERT Exemplar Solutions | Areas Related to Circles Class 10 Maths NCERT Exemplar Solutions |
| NCERT Exemplar Solutions | Areas Related to Circles Class 10 Maths NCERT Exemplar PDF |
| Handwritten Notes | Areas Related to Circles Class 10 Maths Handwritten Notes |
NCERT Handwritten Notes for Class 10 Maths: All Chapters
Use the table below to jump to another Class 10 Maths chapter's handwritten notebook. The same legend and revision card runs through every chapter.
| Chapter | Resource |
|---|---|
| Chapter 9 | Some Applications of Trigonometry Handwritten Notes |
| Chapter 10 | Circles Handwritten Notes |
| Chapter 12 | Surface Areas and Volumes Handwritten Notes |
| Chapter 13 | Statistics Handwritten Notes |
Areas Related to Circles Class 10 Maths Handwritten Notes FAQs
Ques. Where can I download Areas Related to Circles Class 10 Maths Handwritten Notes PDF?
Ans. You can download the Areas Related to Circles Class 10 Maths Handwritten Notes PDF directly from this page. The notes are free and ready to print.
Ques. Are these handwritten notes aligned with the 2026-27 NCERT?
Ans. Yes. The notebook follows the current 2026-27 syllabus for Class 10 Maths. It centres on circumference and area of a circle, the area of a sector, the length of an arc, and the area of a segment.
Ques. What is the formula for the area of a sector?
Ans. The area of a sector with central angle θ is θ360 × π r2. It is just that fraction of the full circle area. The sector wedge on page 3 of the notebook shows this with a worked angle.
Ques. How do you find the length of an arc?
Ans. The length of an arc with central angle θ is θ360 × 2π r. It is the same fraction of the circumference that the sector is of the area. The arc sketch on page 4 makes this link clear.
Ques. How is the area of a segment calculated?
Ans. The area of a segment is the area of the sector minus the area of the triangle formed by the two radii and the chord. The segment cut on page 5 carries a solved example for the minor segment.
Ques. Was anything removed from this chapter in the rationalised syllabus?
Ans. Yes. Areas of combinations of plane figures were removed in the rationalised 2026-27 syllabus. The current core is circumference, area, sector, arc, and segment, which is exactly what the notebook covers.
Ques. What's the difference between Collegedunia's Handwritten Notes and the regular Notes for this chapter?
Ans. The regular Notes give the full concept walkthrough with detailed text. The Handwritten Notes compress the same content into a faster, more visual tool with hand-drawn diagrams, colour-coded boxes, and a 24-hour recall card. Use Notes for the first read and Handwritten Notes for quick revision.
Comments