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Calcule a área da região sombreada da figura abaixo. 120° 4 cm B
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Calcule a área da região sombreada da figura abaixo.
120°
4 cm
B

Calcule a área da região sombreada da figura abaixo. 120° 4 cm B-example-1
User Gary Holland
by
3.2k points

1 Answer

5 votes

Answer:

Area of segment = 9.8 cm² (Approx.)

Explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)

User SoliMoli
by
3.0k points
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