The area of the cylinder is the total region covered by three-dimensional space. The area is equal to the sum of the area of two circular bases and curved surface area. In right cylinders, the two circular bases are exactly over each other and the axis line produces a right angle to the base. In this case, if one of the circular bases is displaced and the axis does not produce the right angle to the base, then it is called the oblique-cylinder.

The middle of the two circular bases, there is a curved surface, which, when opened represents a rectangular shape. This curved surface is also called a lateral surface. The different parameters that are used to calculate the area include radius, height, axis, base, and side.

The radius of the cylinder is defined as the radius of the circular base. The height of the cylinder is calculated by measuring the perpendicular distance between two circular bases, and the line that joins the center of the base is called the axis.

### Area of a Cylinder Formula

- Curved Surface Area (CSA)
- Base Area

### Curved Surface Area

The **curved surface area of a cylinder** **(CSA)** is defined as the area of the **CSA** having base radius ‘r’, and height ‘h’, It is also termed as **Lateral surface area (LSA)**. The formula for a curved area or lateral area is given by;

CSA or LSA = 2π × r × h Square units |

### Base Area of Cylinder

It is in a circular shape. Hence, by the formula of area of the circle, we know,

Area of the circular bases = 2 (πr^{2})

### Total Surface Area of Cylinder

It is equal to the sum of areas of all its faces. The Total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

TSA = 2π × r × h + 2πr^{2}= 2πr (h + r) Square units |