If the difference between the circumference and radius of a circle is 37 cm, then the area of the circle is $\left(\text{use\hspace{0.17em}}\pi =\frac{{\displaystyle 22}}{{\displaystyle 7}}\right)$

Given circumference $-$radius $=37\text{\hspace{0.17em}\hspace{0.17em}cm}$

$2\pi r-r=37$

$(2\pi -1)r=37$

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

$r=\frac{37\times 7}{44-7}$

$r=\frac{37\times 7}{37}$

$r=7$

Area of  circle $=\pi r^2$

$=\frac{22}{7}\times 7\times 7$

$=154{\text{\hspace{0.17em}cm}}^{\text{2}}$