Chapter 6 of the new Ganita Manjari book covers Perimeter and Area. The Class 9 Maths Formula Sheet Chapter 6 Perimeter and Area collects the perimeter rules, the area formulas, and Heron's formula on one clean page for quick revision.
- Formulas inside: about 14 rules, from the perimeter of a rectangle to the area of a sector.
- What they cover: circumference and arcs, areas of quadrilaterals and triangles, and the circle.
- Why one page helps: a formula-heavy chapter fits on one sheet, so revision before a test is fast.
This sheet is prepared by subject teachers, matched to the current 2026-27 NCERT, and checked line by line so a Class 9 student can trust every formula.
What Does the Class 9 Maths Perimeter and Area Formula Sheet Cover?
The Class 9 Maths Formula Sheet Chapter 6 Perimeter and Area covers the full set of measurement formulas in the chapter. You get the perimeter of a square and rectangle, the circumference of a circle, the arc length, and the perimeter of a sector. It then lists the areas of a rectangle, parallelogram, trapezium, rhombus, and triangle, along with Heron's formula, the area of an equilateral triangle, the area of a circle, and the area of a sector. Every formula matches the book.
Video Walkthrough
Source: Vedantu CBSE 10th on YouTube
Perimeter and Area Class 9 Maths All Formulas at a Glance
The table below lists every formula for Chapter 6. Each formula cell is written in clean math so you can use it right away.
| Concept | Formula | What it means |
|---|---|---|
| Perimeter: square, rectangle | 4a and 2(a+b) | The total length around the shape. |
| Circumference of a circle | C = π d = 2π r | π ≈ 227 and is irrational. |
| Length of an arc | l = 2π r × θ360∘ | A part of the circumference for angle θ. |
| Perimeter of a sector | arc + 2r | The arc plus the two radii. |
| Area: rectangle, square | ab and a2 | Length times breadth. |
| Area of a parallelogram | bh | Base times perpendicular height. |
| Area of a trapezium | 12(a+b)h | Half the sum of parallel sides times height. |
| Area of a rhombus or kite | 12 d1 d2 | Half the product of the diagonals. |
| Area of a triangle | 12 bh | Half of base times height. |
| Heron's formula | √s(s-a)(s-b)(s-c) | s = a+b+c2; uses only the three sides. |
| Equilateral triangle | √34 a2 | Area from a single side a. |
| Area of a circle | π r2 | Also equals 12 C r. |
| Area of a sector | π r2 × θ360∘ | A slice of the circle for angle θ. |
When to Use Which Formula in Perimeter and Area
Pick the right formula by reading the shape and the numbers you are given. This short list keeps the choice quick.
- If you want the boundary length of a circle, use 2π r.
- If you know only the three sides of a triangle, use Heron's formula.
- If a triangle has all sides equal, use √34 a2.
- If a shape has two parallel sides, use the trapezium area.
- If a shape is a rhombus or kite, use half the product of the diagonals.
- If a question gives an angle θ in a circle, use the arc or sector formula.
Quick Facts for Perimeter and Area
The cards below hold the facts students slip on most. Keep the Class 9 Maths Formula Sheet Chapter 6 Perimeter and Area next to them while you revise, and the formulas will stick faster.
How will Collegedunia's Formula Sheet Help You with Perimeter and Area?
Collegedunia builds the Class 9 Maths Formula Sheet Chapter 6 Perimeter and Area as one printable page for fast revision.
- 2026-27 Ganita Manjari match: Every formula follows the new book, not the old chapter order.
- Plain meaning added: Each formula has a short line saying what it does.
- Teacher checked: Subject experts verify each perimeter, area, and sector rule.
- Free PDF: Download the sheet and keep it ready for your Class 9 annual exam.
More Perimeter and Area Maths Class 9 Resources
Use the links below to open the other Collegedunia resources for this chapter.
NCERT Formula Sheet for Class 9 Maths: All Chapters
Use the table below to open the Formula Sheet for any other chapter of the new Class 9 Maths book.
| Chapter | Resource |
|---|---|
| Chapter 1 | Coordinates Formula Sheet |
| Chapter 2 | Linear Polynomials Formula Sheet |
| Chapter 3 | The World of Numbers Formula Sheet |
| Chapter 4 | Algebraic Identities Formula Sheet |
| Chapter 5 | Circles Formula Sheet |
| Chapter 6 | Perimeter and Area Formula Sheet |
| Chapter 7 | Introduction to Probability Formula Sheet |
| Chapter 8 | Sequences and Progressions Formula Sheet |
Perimeter and Area Class 9 Maths Formula Sheet FAQs
Ques. Where can I download the Perimeter and Area Class 9 Maths Formula Sheet PDF?
Ans. You can download the Perimeter and Area Class 9 Maths Formula Sheet PDF directly from this page. Both the Normal and HD versions are free.
Ques. How many formulas are in the Class 9 Maths Chapter 6 Perimeter and Area Formula Sheet?
Ans. The sheet lists about 14 formulas, covering perimeter, circumference, arcs, areas of quadrilaterals and triangles, Heron's formula, and the circle.
Ques. Is this chapter part of the new 2026-27 Ganita Manjari book?
Ans. Yes. Perimeter and Area is Chapter 6 of the new Ganita Manjari book for the 2026-27 syllabus. It brings together the mensuration work from the older Heron's Formula chapter.
Ques. How many pages is the Perimeter and Area Formula Sheet PDF?
Ans. The Formula Sheet PDF runs about 2 pages, with a full formula table and a quick-reference section for last-day revision.
Ques. What is Heron's formula used for on this sheet?
Ans. Heron's formula finds the area of any triangle from its three sides, without needing the height, using s = a+b+c2.
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