The lateral area of the cylinder with a radius of 2 and a height of 4 is 16π square units.
To find the lateral area of a cylinder, you need to calculate the surface area of the curved side of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Area = 2πrh
Given that the radius (r) is 2 and the height (h) is 4, you can substitute these values into the formula:
Lateral Area = 2π(2)(4)
= 16π
Therefore, the lateral area of the cylinder with a radius of 2 and a height of 4 is 16π square units.