A sector of a circle with radius 6 cm has a central angle of 60°. What is the area of the corresponding segment?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. cm2.
Area of sector = × π × 62
⇒ × π × 36 = 6π
Area of triangle = × 6 × 6 × sin60°
⇒ 18 × = 9√3
Area of segment = Sector − Triangle
⇒ 6π − 9√3 cm2