Respuesta :

Answer:

  D. 387.49 ft²

Step-by-step explanation:

A shaded sector that subtends an arc of 123° in a circle of radius 19 ft will have an area of ...

  A = (1/2)r²θ

where θ is the central angle in radians.

We know that π radians is 180°, so we can compute the area as ...

  A = (1/2)(19 ft²)(123°·π/180°) = (14801/120)π ft²

  A ≈ 387.49 ft²

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