# Formulas For Perimeter Area Volume Questions

## 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 of Perimeter, Area Volume:

### Formulas for Square

• Perimeter: 4 * s (s = side)
• Area: S2
• Diameter: s√2

### Formulas for Rectangle

• Perimeter: 2 (l + b) (l = length, b = breadth)
• Area: l * b
• Diameter: √a2 + b2
• Area of 4 walls of a room = 2 (Length + Breadth) * Height

### Formulas of Rectangles

• Perimeter: a + b + c
• Area: (b * h)/2 (b = base of the triangle, h = height of the triangle)
• Hero’s formula = √s (s- a) *(s-b) * (s-c)
• Area of an equilateral triangle = √3/4 * side2

### Formulas of Circle

• Area of circle = πr²
• Area of semi-circle= πr2/2
• Circumference of a circle = 2πr
• Circumference of a semi-circle = πr
• Length of arc = 2πrɵ/360
• Area of sector = 1/2 (arc*R) = πr²ɵ/360

### Parallelogram formulas

• Perimeter: 2(a + b)
• Area: b*h

### Rhombus formulas

• Perimeter: 4 * a
• Area: Base * Height

### Trapezium formulas

• Perimeter: a + b + c + d
• Area: 1/2 * (sum of parallel sides) * distance between them

### Formulas for Cube

• Volume: side³
• Surface area = 6s²
• Diagonal = √3s

### Cuboid formulas

• Volume: l * b * h
• Surface area = 2 (lb + bh + hl)
• Diagonal = √l² + b² + h²

### Formulas for Sphere

• Volume: 4/3πr³
• Surface area = 4πr²

### Hemisphere formulas

• Volume: 2/3πr³
• 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: 1/3πr²h
• Slant height = l = √h2 + r2
• Curved Surface area = πrl
• Total Surface area = πrl +πr² 