Its 4 not 1

From Brilliant wiki on Incircle

Incircles also relate well with themselves. If $r_1, r_2, r_3$ are the radii of the three circles tangent to the incircle and two sides of the triangle, then

$r=\sqrt{r_1r_2}+\sqrt{r_2r_3}+\sqrt{r_3r_1}$ .

In our case
$r=\sqrt{1*4}+\sqrt{1*9}+\sqrt{4*9}=\boxed{11}$ .