Answer:
Area of the given fan is 763.4 cm²
Step-by-step explanation:
Area of a sector in a circle = [tex]\frac{\theta}{360}(\pi r^2)[/tex]
Here, angle θ = Central angle subtended by the arc
r = Radius of the circle
Since, fan is in the form of a sector of a circle with radius = 27 cm
Measure of the central angle subtended by the arc FN = ∠FAN = 120°
Area of the fan = [tex]\frac{120}{360}(\pi )(27)^2[/tex]
= [tex]\frac{729\pi }{3}[/tex]
= 243π
= 763.407
≈ 763.4 cm²
Therefore, area of the given fan is 763.4 cm²
