Respuesta :

Answer:

≈ 39.3 in²

Step-by-step explanation:

The area of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{45}{360}[/tex]

  = π × 10² × [tex]\frac{1}{8}[/tex]

  = [tex]\frac{100\pi }{8}[/tex] ≈ 39.3 in² ( to 1 dec. place )