Base Area Of Cylinder - Definition, Formula And Examples - Cuemath

Base Area of Cylinder

The base area of a cylinder can be defined as the total space covered by a flat surface of the base of the cylinder. The total surface area of a cylinder can be calculated if we calculate the area of the two bases and the area of the curved surface. Here in this topic, we will discuss what is the area of the base and how to calculate this area which will be beneficial in calculating the total surface area of the cylinder as well as the volume of the cylinder.

1.	What is Base Area of Cylinder?
2.	Base Area of Cylinder Formula
3.	Calculation of Base Area of Cylinder
4.	FAQs on Base Area of Cylinder

What is the Base Area of Cylinder?

The base area of a cylinder can be defined as the amount of space covered by a flat surface of the base of the cylinder. The base area of the cylinder is actually an area of a circle since the base of the cylinder is a circle. A cylinder is a three-dimensional solid figure which consists of two circular bases connected with a curved face. It is measured as the "number of" square units (square centimeters, square inches, square feet, etc.)

Base Area of Cylinder Formula

The formula of the base area of the cylinder is used to find the area occupied by the base of the cylinder within its boundary. The base area of the cylinder is obtained by multiplying the square of its radius to π. Thus, the formula for the base area of the cylinder, with a radius is r is"πr2". Base Area of a Cylinder = (π × radius2) square units.

Calculation of Base Area of Cylinder

The base area of a cylinder is equal to the square of its radius times π. By following the steps mentioned below we can find the base area of a cylinder.

• Step 1: Calculate the radius of the base of the cylinder.
• Step 2: Find the square of the radius.
• Step 3: Find out the product of the square of its radius to π.
• Step 4: The answer is in square units of the unit of the length radius.

Example: What is the base area of the cylinder having a base radius of 7 units? (Use π = 22/7) Solution: Given that base radius = 7 units

We know that, the base area of the cylinder = πr2 ⇒ Base area = (22/7 × 72) ⇒ Base area = (22 × 7) = 154 square units

Thus, the base area of the cylinder having a base radius of 7 units is 154 square units.

Related Topics

Listed below are a few interesting topics related to the base area of cylinder, take a look.

• Surface Area of a Cylinder
• Area of a Cylinder Calculator
• Volume of Cylinder