Question

Estimate the area of tje fan if m

Answer 1

Answer:

Area of the given fan is 763.4 cm²

Step-by-step explanation:

Area of a sector in a circle = $\frac{\theta}{360}(\pi r^2)$

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 = $\frac{120}{360}(\pi )(27)^2$

                         = $\frac{729\pi }{3}$

                         = 243π

                         = 763.407

                         ≈ 763.4 cm²

Therefore, area of the given fan is 763.4 cm²