9514 1404 393
Answer:
5.1 cm²
Explanation:
The area of a segment is given by the formula ...
A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians
For this segment, its area is ...
A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²
The area of the segment is about 5.1 square centimeters.
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The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.