Vocabulary

Area: The space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Cylinder: A three-dimension figure with two parallel congruent circular bases connected by a curved surface. ​

Concept

Calculate the area of the base of a cylinder. 

Rules

1. The base of a cylinder is a circle.
2. Determine the radius. If diameter is given, first take half of the diameter to find the radius. 
3. To find the area of a circle for given radius, multiply π by the radius squared. 

A = πr²

Example

Select the correct area of the base of the cylinder. 

Solution

The area of a base of a cylinder is the same as the area of a circle.

A = πr²

For this problem, it becomes

A = π(6)²

A = π(36)

A = 113.1 cm²

Pre-requisite Skills

Circumference and Area of Circles (7.9.1)