The difference between the circumference and radius of a circle is 37cm.

Let the radius of the circle be r and circumference C.

Now,

$C-r=37$

$\Rightarrow 2 \pi r-r=37$

$\Rightarrow r\left(2 \times \frac{22}{7}-1\right)=37$

$\Rightarrow r=\frac{37 \times 7}{37}=7 \mathrm{~cm}$

Now, $C=2 \pi r=2 \times \frac{22}{7} \times 7=44 \mathrm{~cm}$

Hence, the circumference of the circle is 44 cm.