**Important formulae and tricks and shortcuts of Area:**

We are providing you Important Concepts and Tricks on Area which are usually asked in almost all competitive exams like IBPS, Govt. Exams and CAT and in quantitative aptitude of MNCs. Use these below given tricks to solve questions within minimum time. These tricks will be very helpful for your upcoming Competitive Exam.

**Rectangle :**

- Area = lb
- Perimeter = 2(l+b)

**Square :**

- Area = a×a
- Perimeter = 4a

**Parallelogram**

- Area = l × h
- Perimeter = 2(l+b)

**Triangle :**

- Area =b×h/2 or √s(s-a)(s-b)(s-c)…………….where s=a+b+c/2

**Right angle Triangle :**

- Area =1/2(bh)
- Perimeter = b+h+d

**Isosceles right angle triangle :**

- Area = ½. a
^{2} - Perimeter = 2a+d……………………….where d=a√2

**Equilateral Triangle :**

- Area = √3. a
^{2}/4 or ½(ah)….where h = √3/2 - Perimeter = 3a

**Trapezium :**

- Area = 1/2h(a+b)
- Perimeter = Sum of all sides

**Rhombus :**

- Area = d1 × d2/2
- Perimeter = 4l

**Quadrilateral**

- Area =1/2 × Diagonal × (Sum of offsets)

**Kite :**

- Area = d1×d2/2
- Perimeter = 2 × Sum on non-adjacent sides

**Circle :**

- Area = πr^2 or πd^2/4
- Circumference = 2πr or πd
- Area of sector of a circle = (θπr^2 )/360

**Frustum :**

- Curved surface area = πh(r
_{1}+r_{2}) - Surface area = π( r
_{1}^{2}+ h(r_{1}+r_{2}) + r_{2}^{2})

**Cube :**

- Volume: V = l
^{3} - Lateral surface area = 4a
^{2} - Surface Area: S = 6s
^{2} - Diagonal (d) = √3l

**Cuboid :**

- Volume of cuboid: lbh
- Total surface area = 2 (lb + bh + hl) or 6l
^{2} - Length of diagonal =√(l^2+b^2+h^2)

**Right Circular Cylinder :**

- Volume of Cylinder = π r
^{2}h - Lateral Surface Area (LSA or CSA) = 2π r h
- Total Surface Area = TSA = 2 π r (r + h)
- Volume of hollow cylinder = π r h(R
^{2}– r^{2})

**Right Circular cone :**

- Volume = 1/3 π r
^{2}h - Curved surface area: CSA= π r l
- Total surface area = TSA = πr(r + l )

**Sphere**

- Volume: V = 4/3 πr
^{3} - Surface Area: S = 4πr
^{2}

**Hemisphere :**

- Volume = 2/3 π r
^{3} - Curved surface area(CSA) = 2 π r
^{2} - Total surface area = TSA = 3 π r
^{2}

**Prism :**

- Volume = Base area x h
- Lateral Surface area = perimeter of the base x h

**Pyramid:**

- Volume of a right pyramid = (1/3) × area of the base × height.
- Area of the lateral faces of a right pyramid = (1/2) × perimeter of the base x slant height.
- Area of whole surface of a right pyramid = area of the lateral faces + area of the base.

**Tetrahedron :**

- Area of its slant sides = 3a
^{2}√3/4 - Area of its whole surface = √3a
^{2} - Volume of the tetrahedron = (√2/12) a
^{3}

**Regular Hexagon :**

- Area = 3√3 a
^{2}/ 2 - Perimeter = 6a

**Some other Formula :**

- Area of Pathway running across the middle of a rectangle = w(l+b-w)
- Perimeter of Pathway around a rectangle field = 2(l+b+4w)
- Area of Pathway around a rectangle field =2w(l+b+2w)
- Perimeter of Pathway inside a rectangle field =2(l+b-4w)
- Area of Pathway inside a rectangle field =2w(l+b-2w)
- Area of four walls = 2h(l+b)

**For solved problems on above formulas please visit below sections:**