Question: If a circle has a radius of 10 m, what is the area of a circle segment formed by a central angle of 120 degrees?

Options:

1. 50π m²
2. 100π m²
3. 25π m²
4. 75π m²

Correct Answer: 100π m²

Solution:

Area of segment = Area of sector - Area of triangle; Area of sector = (120/360) * π(10)² = (1/3) * 100π = 33.33π m²; Area of triangle = (1/2) * r² * sin(θ) = (1/2) * 10² * √3/2 = 25√3 m²; Area of segment = 33.33π - 25√3.