Circle A has a center at (5 ,3 ) and an area of 54 pi. Circle B has a center at (7 ,8 ) and an area of 15 pi. Do the circles overlap?

**Let Radius of 1st circle be ${r}_{1}$ and 2nd circle be ${r}_{2} \ast$
$\pi \times {r}_{1}^{2} = 54 \pi \implies {r}_{1} = \sqrt{54} = 3 \sqrt{6} \approx 7.35$
$\pi \times {r}_{2}^{2} = 15 \pi \implies {r}_{2} = \sqrt{15} = 3.87$
$d = \sqrt{{\left(5 - 7\right)}^{2} + {\left(3 - 8\right)}^{2}} = \sqrt{29} = 5.39$
Here it is found $d \cancel{\ge} {r}_{1} + {r}_{2}$ So there will be overlap