Geometry is a department of mathematics that offers with shape, dimension, relative position of figures, and the properties of space. It emerges independently in variety of early cultures as a practical approach of dealing with lengths, area and volumes.

Geometry may be divided into two differing kinds: Plane Geometry and Solid Geometry. The Plane Geometry offers with shapes akin to circles, triangles, rectangles, square and more. Whereas, the Solid Geometry is anxious in calculating the size, perimeter, area and volume of various geometric figures and shapes. And are additionally used to calculate the arc size and radius and so forth.

The principal concern of each pupil about this topic is the Geometry Formula. They are used to calculate the length, perimeter, area and volume of various geometric shapes and figures. There are many geometric formulation, that are associated to height, width, length, radius, perimeter, area, surface area or volume and far more.

Some geometric formula are reasonably sophisticated and few you may rarely seen them, nevertheless, there are some fundamental formulas that are used in our every day life to calculate the length, space and so on.

## Basic Geometry Math Formula

## Square Formula

- Perimeter of a Square = P = 4a

Where a = Length of the sides of a Square

- Area of a Square = A = a
^{2}

Where a = Length of the sides of a Square

## Rectangle Formula

- Perimeter of a Rectangle = P = 2(l+b)

Where, l = Length ; b = Breadth

- Area of a Rectangle = A = l×b

Where, l = Length ; b = Breadth

## Triangle Formula

- Area of a Triangle = A = ½×b×h

Where, b = base of the triangle ; h = height of the triangle

## Trapezoid Formula

- Area of a Trapezoid = A = ½×(b
_{1}+ b_{2})×h

Where, b1 & b2 are the bases of the Trapezoid ; h = height of the Trapezoid

## Circle Formula

- Area of a Circle = A = π×r
^{2} - Circumference of a Circle = A = 2πr
- Diameter of Circle = d = 2 × r

Where, r = Radius of the Circle, d = Diameter of Circle

## Cube Formula

- Surface Area of a Cube = S = 6a
^{2}

Where, a = Length of the sides of a Cube

## Cylinder Formula

- Curved surface area of a Cylinder = 2πrh
- Total surface area of a Cylinder = 2πr(r + h)
- Volume of a Cylinder = V = πr
^{2}h

Where, r = Radius of the base of the Cylinder ; h = Height of the Cylinder

## Cone Formula

- Curved surface area of a cone = πrl
- Total surface area of a cone = πr(r+l) = πr[r+√(h
^{2}+r^{2})] - Volume of a Cone = V = ⅓×πr
^{2}h

Where, r = Radius of the base of the Cone, h = Height of the Cone

## Sphere Formula

- Surface Area of a Sphere = S = 4πr
^{2} - Volume of a Sphere = V = 4/3×πr
^{3}

Where, r = Radius of the Sphere

- Area of a Ellipse = A = πab

Where, a = radius of major axis, b = area of minor axis

## Hexagon Formula

- Perimeter of an Hexagon = P = 6a

- Area of a Hexagon = A = ((3√3) /2 ) × a2

Where, a = length of side

## Angle Formula

- Central Angle Formula = A = ( s × 360 ) / 2πr

Where, s = Length of Arc, r = length of radius

- Formula of Central Angle = s = rθ

Where, s is the arc length, θ represents the central angle in radians, r is the length of the radius.

- Formula for Double Angle
- cos(2a) = cos2(a) – sin2(a) = 2cos2(a) − 1 = 1−2sin2(a)
- sin(2a) = 2sin(a)cos(a)
- tan(2a) = 2tan(a) / (1−tan2(a) )