Question

Find the area of the shaded segment of the circle

Answer 1

Answer:

  15.35 m²

Step-by-step explanation:

For a central angle of θ in radians, the area of a segment is ...

   A = (1/2)r²(θ -sin(θ))

The central angle subtending the segment is 120°, or 2π/3 radians. Thus the segment area is ...

  A = (1/2)(5 m)²(2π/3 -sin(2π/3)) = (25 m²)(π/3 -(√3)/4)

  A ≈ 15.35 m² . . . . area of shaded segment