Respuesta :

[tex] A = \dfrac{n}{360^\circ} \times \pi r^2 [/tex]

[tex] A = \dfrac{172^\circ}{360^\circ} \times 3.14159 \times (4~in.)^2 [/tex]

[tex] A = \dfrac{172^\circ}{360^\circ} \times 3.14159 \times 16~in.^2 [/tex]

[tex] A = 24.0~in.^2 [/tex]