Question
Find the area of the shaded segment of the circle.
120
6cm
The area of the shaded segment is
enter your response here cm Superscript 2.
(Round to the nearest tenth as needed.)
120
6cm
The area of the shaded segment is
enter your response here cm Superscript 2.
(Round to the nearest tenth as needed.)
Answers
GPT 3.5
The area of the shaded segment can be found by subtracting the area of the triangle from the area of the sector.
Area of sector = (120/360) * π * (6)^2 = 12π
Area of triangle = (1/2) * 6 * 6 * sin(120°) = 18√3
Area of shaded segment = Area of sector - Area of triangle
= 12π - 18√3
≈ 19.3 cm^2
Therefore, the area of the shaded segment is approximately 19.3 cm^2.
Area of sector = (120/360) * π * (6)^2 = 12π
Area of triangle = (1/2) * 6 * 6 * sin(120°) = 18√3
Area of shaded segment = Area of sector - Area of triangle
= 12π - 18√3
≈ 19.3 cm^2
Therefore, the area of the shaded segment is approximately 19.3 cm^2.