Formulas For Perimeter Area Volume

January 3, 2022

Perimeter, Area and Volume formulas

In this page we are going to learn about various Formulas for Perimeter Area and Volume of various geometrical shapes and figures. For your knowledge a perimeter is the path that surrounds or encompasses a two-dimensional shape.

While Volume is the quantity of a three-dimensional space enclosed by a closed surface.

And Area is the quantity that expresses the extent of a two-dimensional figure or shape.

Perimeter, Area and Volume formulas for various shapes:-

Geometry is a branch of mathematics that deals with different shapes and sizes. It can be divided into two different types: Plane Geometry and Solid Geometry
Plane Geometry deals with shapes such as circles, triangles, rectangles, square.
Solid Geometry is concerned in calculating the length, perimeter, area and volume of various geometric figures and shapes. Here are some basic formulas which can be used to calculate the length, area, volume, and perimeter of various shapes and figures.

Formulas For Perimeter Area Volume:-

Formulas for Square

Here, s = side

- Perimeter: 4 * s
- Area: S²
- Diagonal: s $\sqrt{2}$
- Area of square when diagonal is given = $\frac{1}{2}\times d^{2}$

Formulas for Rectangle

Here , l = length, b = breadth.

- Perimeter: 2 (l + b) (l = length, b = breadth)
- Area: l × b
- Diameter: $\sqrt{l^2 + b^2 }$
- Area of 4 walls of a room = 2 (Length + Breadth) × Height

Formulas of Circle
- Area of circle = πr²
- Area of semi-circle= $\frac{πr^2}{2}$
- Circumference of a circle = 2πr
- Circumference of a semi-circle = πr
- Length of arc = $\frac{2πrɵ}{360}$
- Area of sector = 1/2 (arc*R) = πr²ɵ/360

Parallelogram formulas
- Perimeter: 2(a + b)
- Area: b × h
- Height of parallelogram = $\frac{A}{b}$

Rhombus formulas
- Perimeter: 4 × a
- Area: $\frac{p\times q}{2}$
- Diagonals
  p = $p = \sqrt{4a^{2} – q^{2}}$
  q = $p = \sqrt{4a^{2} – q^{2}}$

Trapezium formulas
- Perimeter: a + b + c + d
- Area: $\frac{1}{2}$ × (sum of parallel sides) × distance between them
- To find thee distance between parallel sides you will have to convert trapezium to rectangle and then use PYTHAGORAS THEOREM.

Cube formulas
- Volume: (side)³
- Surface area = 6s²
- Partial Surface area = 4s²
- Diagonal = $\sqrt{3}$ s

Cuboid formulas
- Volume: l * b * h
- Surface area = 2 (lb + bh + hl)
- Curved Surface area = 2h(l+b)
- Diagonal = $\sqrt{l^2 + b^2 + h^2}$

Sphere formulas
Formulas for Sphere
- Volume: $\frac{4}{3}$ πr³
- Surface area = 4πr²

Hemisphere formulas
- Volume: $\frac{2}{3}$ πr³
- Curved Surface area = 2πr²
- Total Surface area = 3πr²

Cylinder formulas
- Volume: πr²h
- Curved Surface area = 2πrh
- Total Surface area = 2πr (h + r)

Cone formulas
- Volume: $\frac{1}{3}$ πr²h
- Slant height = l = $\sqrt{h^2 + r^2 }$
- Curved Surface area = πrl
- Total Surface area = πrl +πr