Answer:
[tex] \approx 14.7 \: {yd}^{2} [/tex]
Step-by-step explanation:
Area of unshaded sector
[tex] = \frac{(360 - 167 )\degree}{360 \degree} \times \pi {r}^{2} \\ \\ 17.8= \frac{197\degree}{360 \degree} \times \pi{r}^{2} \\ \\ \pi{r}^{2} = \frac{17.8 \times 360}{197} \\ \\ \pi{r}^{2} = \frac{6408}{197} \\ \\ \pi{r}^{2} = 32.5279188 \\ \implies \\Area\: of \: circle= 32.5279188\: yd^2 \\\\ Area \: of \: shaded \: sector \\ \\ = 32.5279188 - 17.8 \\ \\ = 14.7279188 \\ \\ \approx 14.7 \: {yd}^{2} [/tex]
