Final answer:
When you triple the radius of a circle, the area of the circle increases by a factor of nine.
Step-by-step explanation:
When you triple the radius of a circle, the area of the circle increases by a factor of nine. This can be justified using the formula for the area of a circle, which is A = πr². If you triple the radius, the new radius is 3r. Plugging this into the formula, we get A = π(3r)² = 9πr². So the area of the circle is nine times larger when you triple the radius.