Answer:
The area of sector AOB is 75.36 unit²
Step-by-step explanation:
Consider the provided information.
Circle O with minor arc AB=60 degrees and OA =12.
We need to find the area of sector.
Area of the sector: [tex]A=\frac{\theta }{360} \times \pi r^2[/tex]
Substitute [tex]\theta=60[/tex] and r =12 in above formula.
[tex]A=\frac{60}{360} \times 3.14\times (12)^2[/tex]
[tex]=\frac{1}{6} \times 3.14\times 144[/tex]
[tex]=24\times 3.14[/tex]
[tex]=75.36[/tex]
Hence, the area of sector AOB is 75.36 unit²