9514 1404 393
Answer:
17.078 square units
Explanation:
The area of a segment is given by the formula ...
A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians
The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.
Then the segment area is ...
A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units