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Estimate the area of tje fan if m

Estimate The Area Of Tje Fan If M class=

Sagot :

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

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