Question

the area of a circle is 55:44 find its radius

Answer 1

$area\:of\:a \:circle= \frac{55}{44}(given)$
we know that ,
$area \: of \: a \: circle = \pi {r}^{2}$
$\frac{55}{44} = \pi {r}^{2}$
$\frac{5}{4} = \pi {r}^{2}$
$\frac{5}{4}=\frac{22}{7} \times {r}^{2}$
$\frac{5 \times 7}{4 \times 22} = {r}^{2}$
$\frac{35}{88} = { {r}^{2} }$
$r = \sqrt{0.39}$
r=0.62