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Answer:

[tex]A = \frac{ \alpha°}{360°} \times \pi \times {r}^{2} \\ = \frac{135°}{360°} \times \pi \times {8}^{2} \\ = \frac{3}{8} \times 64\pi \\ = 3 \times 8\pi \\ = 24\pi[/tex]

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