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
