The formula for area of sector is
[tex] \frac{\theta}{360^{o} } \pi r^2 [/tex]
Here [tex] \theta [/tex] = 185°
Now diameter = 6.4m
Radius = 1/2 diameter = 1/2 (6.4) = 3.2m
Substituting the values we get
Area of sector
= [tex] \frac{185^{o} }{360^{o} } \pi (3.2)^2= 16.5 [/tex]
The area of the sector is 16.5m²
Option C) is the right answer
