Answer: 20π/9 cm²
Step-by-step explanation:
Central angle is given as = 50°
We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.
Area of the sector = 5/36 × πr².
= 5/16 × π × 4²
= 5/36 × π × 16
= 80π/36
= 20π/9 cm²
