# Formulas For Perimeter Area Volume

## Formulas For Perimeter Area Volume

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.

### Formulas For Perimeter Area Volume:-

• 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