Geometry is that branch of mathematics dealing with shape, size, the relative position of figures, and properties of shapes.It independently occurs in the quantity of early cultures as a practical way of dealing with lengths, area, and volumes.

The geometry can be further classified into two types. These are Plane Geometry and Solid Geometry. In the case of Plane Geometry, shapes such as a circle, triangle, rectangle, square, and so on are discussed. However, in the case of Solid Geometry, the length, perimeter, area, and volume of various geometric figures and shapes are calculated.

A problem of each student while handling the mathematics subject is the Geometry Formulas. They handle the problems of finding out the length, perimeter, area, and volume of various geometric shapes and figures.

Basic Geometry Formulas

• Perimeter of a Square = P = 4a,

              where a is the length of the sides of a Square

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

               where, l = Length ; b = Breadth

• Area of a Square = A =   where a is the length of the sides of a Square

• Area of a Rectangle = A = l×b,

                where, l = Length ; b = Breadth

• Area of a Triangle = A = ½×b×h,

              here, b is the base of the triangle; h is the height of the triangle

• Area of a Trapezoid = A = ½×(b1 + b2)×h,

                   where  b1 & b2 are the bases of the Trapezoid; h is the height of the Trapezoid                   

• Area of a Circle =  

• Circumference of a Circle = A = 2πr

                   Where, r = Radius of the Circle

• Surface Area of a Cube = S = 

                   Where, a is the length of the sides of a cube

• Curved surface area of a Cylinder = 2πrh

• Total surface area of a Cylinder = 2πr(r + h)

• Volume of a Cylinder = V = 

                 Where, r is the radius of the base of the Cylinder;

                             h is the height of the Cylinder

• Curved surface area of a cone = πrl

• Total surface area of a cone = πr(r+l) = 

• Volume of a Cone = V = 

               Where, r is the radius of the base of the Cone, h is the height of the Cone 

•  Surface Area of a Sphere = S = 

• Volume of a Sphere = V = 

      Where, r = Radius of the Sphere

Some geometric formulas are rather complicated and you might hardly ever see them, however, there are some basic formulas which are used in our daily life to calculate the length, space and so on.

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