Find the area of the shaded segment of the circle
1 answer:
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
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