What is the area of a circle with a radius of 5 cm?

To find the area of a circle, the formula used is A = πr², where A represents the area and r is the radius of the circle. Given that the radius is 5 cm, we can substitute that value into the formula.

First, calculate the square of the radius:

r² = 5² = 25.

Next, multiply this value by π (pi):

A = π × 25 = 25π cm².

This shows that the area of the circle with a radius of 5 cm is indeed 25π cm², which corresponds to the correct answer. Using π gives a precise area in terms of this constant, which is often used in mathematics to represent circles.

Evaluating the other options indicates they do not match the correct area calculation. For instance, the choice of 25 cm² would imply using the formula without including π, as it only considers the squared radius. Options like 50 cm² and 75 cm² arise from misunderstandings of area calculations or incorrect applications of circle properties. Thus, the correct area of 25π cm² is affirmed by following the standard formula for the area of a circle with the given radius.