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 class=](https://us-static.z-dn.net/files/d18/3911f8a501f9e8cd526113d61e49b433.png)
Answer:
Area of segment = 9.8 cm² (Approx.)
Step-by-step 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.)