Final answer:
The lateral area of a cone can be calculated by multiplying the circumference of the base by the slant height.
Step-by-step explanation:
The lateral area of a cone is the sum of the areas of all the lateral faces of the cone. The lateral face of a cone is a sector of a circle. To find the lateral area of a cone, you need to calculate the circumference of the base of the cone and multiply it by the slant height of the cone.
Let's say the radius of the base of the cone is 'r' and the slant height is 'l'. The formula for the lateral area of a cone is:
Lateral Area = πr * l
For example, if the radius of the base of the cone is 5 cm and the slant height is 10 cm, the lateral area can be calculated as:
Lateral Area = π * 5 cm * 10 cm = 50π cm².