What is the area of a circle with a radius of 4 cm?

To find the area of a circle, you can use the formula:

[ \text{Area} = \pi r^2 ]

where ( r ) is the radius of the circle. In this instance, the radius given is 4 cm. Plugging this value into the formula:

[ \text{Area} = \pi (4)^2 ]

Calculating ( (4)^2 ) gives you 16. Therefore, substituting this back into the area formula yields:

[ \text{Area} = \pi \times 16 = 16\pi , \text{cm}^2 ]

This confirms that the area of the circle is ( 16\pi , \text{cm}^2 ).