The circumference of a circle is ____ if its area is 110 m².

We know, the area of a circle$= {\mathrm{\pi r}}^2$

As per the question, the area of the circle = 110 m²

${\mathrm{\pi r}}^2 = 110$

${\mathrm{r}}^2 = \frac{110}{\mathrm{\pi }}$

${\mathrm{r}}^2 = \frac{110}{ {\displaystyle \frac{22}{7}}}= \frac{110 \times 7}{22}$

${\mathrm{r}}^2 = 35$

$\mathrm{r} =\surd 35 \mathrm{m}$

So, the circumference of a circle$= 2\mathrm{\pi r}$

$= 2\times \frac{22}{7}\times \surd 35 = \frac{44}{7}\surd 35 \mathrm{m}$.