Question

Estimate the area of tje fan if m

Answer 1

Area of the given fan is 763.4 cm²

Explanation:

Area of a sector in a circle =
`(\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 =
`(120)/(360)(\pi )(27)^2`

=
`(729\pi )/(3)`

= 243π

= 763.407

≈ 763.4 cm²

Therefore, area of the given fan is 763.4 cm²