Answer
$60.2^o$
Work Step by Step
Using the relation $s=r\theta$, we have $\theta=\frac{s}{r}$; that is
$$
\theta=\frac{s}{r}= \frac{0.0283}{0.0270}= 1.05~rad\rightarrow1.05\times\frac{180}{\pi}=60.2^o
.$$
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