Respuesta :

Answer:

C

Step-by-step explanation:

The central angle is equal to the arc that subtends it, that is 54°

area of sector = area of circle × fraction of circle

A = πr² × [tex]\frac{54}{360}[/tex]

   = π × 10² × [tex]\frac{3}{20}[/tex]

   = 100π × [tex]\frac{3}{20}[/tex] ( cancel 20 and 100 )

   = 5π × 3

   = 15π cm² → C

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