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artcher [175]
2 years ago
7

Can you help me please ​

Mathematics
1 answer:
almond37 [142]2 years ago
5 0

Answer:

\approx 14.7 \:  {yd}^{2}

Step-by-step explanation:

Area of unshaded sector

=  \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}

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