A sector with a radius of 6 cm has a central angle measure of 4pi/9 in radians. What is the area of the sector?

8πcm² = 8pi cm²

Step-by-step explanation:

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 * 6² * 4π/9

Area of the sector = (144π/18) cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

8pi cm^2

Step-by-step explanation:

Khan