Comparing Areas of Circles

Consider a circle with a radius of 4 units. If a point is located at a distance of 3 units from the center of the circle, we want to determine the relationship between the area of the circle and the area of a smaller circle, which has its center at the same point and a radius of 1 unit.

To find the area of the circles, you can use the formula for the area of a circle, which is given by:

$$ A = ext{π} r^2 $$

where $$ r $$ is the radius of the circle.