9514 1404 393
Answer:
36.23 square meters
Step-by-step explanation:
The area of a segment that subtends central angle α (in radians) is given by the formula ...
A = (1/2)r²(α -sin(α))
Your sector has α = π/3, so the area is ...
A = (1/2)(20 m)²(π/3 -sin(π/3)) ≈ (200 m²)(1.04720 -0.86603)
A ≈ 36.23 m²
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Additional comment
The segment area formula represents the difference between the sector area and the triangle area.
