The area of the sector is 5.9 m²
Step-by-step explanation:
The problem pertains to the area of an arc.
We know that area of the arc is given by= (central angle/360°)*π*r
²
Where r is the radius of the circle= diameter/2
Here diameter of the circle= 6 m
⇒Radius= 6/2= 3m
Substituting the values of the central angle as 75° (given), “r” as 3m, we get-
⇒Area of the sector= (75°/360°)*3.14*(3)
²
⇒Area of the sector=0.20834*3.14*9
⇒Area of the sector=5.9 m² (rounded off to the nearest tenth place after decimal)
Hence, area of the sector is 5.9 m²
