Solution :
Let radius of the circle be $r$ cm.
Then according to question,
$2 \pi r−r=37$
=>$r (2 \pi -1) =37$
=> $r \bigg( \large\frac{44}{7}-1\bigg)$$=37$
$r= 37 \times \large \frac{7}{37} $$ =7\;cm$
Circumference of the circle $= 2 \pi r$
$\qquad= 2 \times \large\frac{22}{7}$$\times 7 =44\;cm$