hello students , here is a list of Mensuration Formula used in mensuration. this is the most important formulas list of Mensuration and this formula list is most important for your preparation . (this is also for JEE Mains and Advance students and also for class 10th and 12th students ) you can download this in pdf format .
- Rectangle:
– Area = length × width
– Perimeter = 2(length + width) - Square:
– Area = side × side
– Perimeter = 4 × side - Triangle:
– Area = (base × height) / 2
– Perimeter = sum of lengths of all sides - Circle:
– Area = πr² (where r is the radius)
– Circumference = 2πr - Parallelogram:
– Area = base × height
– Perimeter = 2(length + width) - Trapezoid:
– Area = (sum of lengths of parallel sides × height) / 2
– Perimeter = sum of lengths of all sides - Rhombus:
– Area = (diagonal₁ × diagonal₂) / 2
– Perimeter = 4 × side - Regular Polygon (n-sided):
– Area = (1/4) × n × side² × cot(π/n)
– Perimeter = n × side - Sphere:
– Surface Area = 4πr²
– Volume = (4/3)πr³ - Cube:
– Surface Area = 6 × side²
– Volume = side³ - Cylinder:
– Surface Area = 2πrh + 2πr²
– Volume = πr²h - Cone:
– Surface Area = πr(r + √(r² + h²))
– Volume = (1/3)πr²h - Pyramid:
– Surface Area = (1/2) × Perimeter of base × slant height + base area
– Volume = (1/3) × base area × height - Rectangular Prism (Box):
– Surface Area = 2(length × width + width × height + length × height)
– Volume = length × width × height - Ellipsoid:
– Volume = (4/3)πabc (where a, b, c are the semi-axes)
| S.No. | Name | Perimeter | Area |
| 1. | Rectangle | 2(a+b) | ab |
| 2. | Square | 4a | a^2(a Square) |
| 3. | Circle | 2πr | πr² |
| 4. | Semi Circle | πr + 2r | 1/2 (πr²) |
| 5. | Right Triangle | b+h+d | 1/2(bh) |
Formulas of 2D Shapes:
| Shape | Area | Perimeter |
| Scalene Triangle | √[s(s−a)(s−b)(s−c)], Where, s = (a+b+c)/2 | a+b+c |
| Isosceles Triangle | ½ × b × h | 2a + b |
| Equilateral triangle | (√3/4) × a2 | 3a |
| Trapezium | ½ h(a+c) | a+b+c+d |
| Parallelogram | b × h | 2(l+b) |
These are some of the most common formulas used in mensuration. There are more specialized formulas for other geometrical shapes and solids.
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