Respuesta :

Answer:

62.8 ft²

Step-by-step explanation:

The area (A) of the sector is calculated using the formula

A = area of circle × fraction of circle

  = π × 4² × [tex]\frac{\frac{5\pi }{2} }{2\pi }[/tex]

  = π × 16 × [tex]\frac{5}{4}[/tex]

  = π × 20 = 20π ≈ 62.8 ft²