The radius of a circle is doubled. Which of the following describes the effect of this change on the area?

When you double the radius of a circle, the area doesn’t just double—it quadruples! This happens because the area of a circle is given by the formula A = πr². So, if you change the radius from r to 2r, the new area becomes A = π(2r)² = π(4r²), which means you end up with four times the original area. Pretty cool, right? This principle is not just applicable to circles; it appears in various geometric shapes! For instance, if you double the side length of a square, the area increases by a factor of four as well. Understanding how dimensions affect areas helps in fields like architecture and design, ensuring efficient use of space while maximizing aesthetics!