Given:
The radius of the circle is 4 cm.
The central angle is 120°
We need to determine the area of the sector.
Area of the sector:
The area of the sector can be determined using the formula,
[tex]A=(\frac{\theta}{360} )\pi r^2[/tex]
Substituting [tex]\theta=120[/tex] and r = 4 cm, we get;
[tex]A=(\frac{120}{360}) \pi (4)^2[/tex]
Simplifying, we get;
[tex]A=(\frac{120}{360}) \pi (16)[/tex]
[tex]A=5.33 \pi \ cm^2[/tex]
Thus, the area of the sector is 5.33π cm²
