Respuesta :

Answer:

[tex] 16\pi \: {cm}^{2} [/tex]

Step-by-step explanation:

[tex]A = \frac{90 \degree}{360 \degree} \times \pi ({8})^{2} \\ \\ A = \frac{1}{4} \times \pi \times 64 \\ \\ A = \frac{1}{4} \times 64\pi \\ \\ A =16\pi \: {cm}^{2} [/tex]