3 years ago

What is the area of the shaded segment ?

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

9514 1404 393

Answer:

5.1 cm²

Step-by-step 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.

_____

The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.

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