The area of the sector is 84.78 square units
Area of a Sector
From the question, we are to determie the area of the sector.
The area of a sector can be calculated by using the formula,
[tex]A= \frac{\theta}{360}\times \pi r^{2}[/tex]
Where A is the area of the sector
θ is the central angle
and r is the radius
From the give information,
θ = 120°
r = 9
and π = 3.14
Putting the parameters into the formula, we get
[tex]A = \frac{120 ^\circ}{360 ^\circ} \times 3.14 \times 9^{2}[/tex]
[tex]A = \frac{1}{3} \times 3.14 \times 81[/tex]
[tex]A = 3.14 \times 27[/tex]
A = 84.78 square units
Hence, the area of the sector is 84.78 square units
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