Question 50
Mensuration of Plane ShapesFind the area of the shaded segment in the figure shown above
- A.√3
- B.4π − √3
- C.2/3π
- D.2π/3 − √3
- E.2π/3 − 2√3
Show the answer and explanation
Answer: D (2π/3 − √3)
Explanation
Sector = 60/360 × π × 2² = 2π/3. Triangle = ½ × 2 × 2 × sin 60° = √3. Segment = 2π/3 − √3.