There are two types of problems in mensuration

- 2 dimensional: It contains
- Length and breadth
- Area
- Perimeter

- 3 dimensional: It contains
- Length, breadth, and height
- Volume
- Total surface area
- Curved surface area

**Important formulas:**

Square:

Area of square =

Perimeter of a square is= 4a

Diagno1 =

When diagno1 is given area =

Rectangle:

Area of rectangle = length * breadth

Perimeter = 2(Length + Breadth)

d=

Triangle:

Area of a triangle =

Scalene triangle

Area of the triangle when sides are given =

Equilateral triangle:

Area of equilateral triangle =

Height of a triangle =

p=3a

Isosceles triangle

h=

p=2a+b

RIGHT ANGLE TRIANGLE

Perimeter= Perpendicular + base + hypothesis

Area =

Circle :

Area of circle =

Circumference of a circle =

Trapezium:

In trapezium opposite sides are equal

Area of trapezium =

Parallelogram:

Area of parallelogram =

Perimeter = a+b+c+d

Rhombus:

In the rhombus, all sides are equal and diagonal are not equal

Area of rhombus =

SECTOR:

Length of arc =

Perimeter =

Area =