 # Geometry Formulas

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

Geometry can be divided into two different types: Plane Geometry and Solid Geometry. The Plane Geometry deals with shapes such as circles, triangles, rectangles, square and more. Whereas, the Solid Geometry is concerned in calculating the length, perimeter, area and volume of various geometric figures and shapes.

The main concern of every student about maths subject is the Geometry Formulas. They are used to calculate the length, perimeter, area and volume of various geometric shapes and figures.  There are many geometric formulas, which are related to height, width, length, radius, perimeter, area, surface area or volume and much more.

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

Here is a list of several most important geometry formulas that you use for solving various problems.

## Basic Geometry Formulas

• Perimeter of a Square = P = 4a

Where a = 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 = a2

Where a = 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

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

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

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

• Area of a Circle = A = π×r2
• Circumference of a Circle = A = 2πr

Where, r = Radius of the Circle

• Surface Area of a Cube = S = 6a2

Where, a = 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 = πr2h

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

• Curved surface area of a cone =  πrl
• Total surface area of a cone = πr(r+l) = πr[r+√(h2+r2)]
• Volume of a Cone = V = ⅓×πr2h

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

• Surface Area of a Sphere = S = 4πr2
• Volume of a Sphere = V = 4/3×πr3

Where, r = Radius of the Sphere