For this case we have that by definition, the area of a circular sector is given by:
[tex]A = \frac {\alpha}{360}\pi r^2[/tex]
Where,
- r: radius of the circle
- α: Central angle
Therefore, replacing values we have:
[tex]A = \frac {30} {360} \pi (6) ^ 2\\A = 9.42 ft ^ 2[/tex]
Answer:
The area of a sector bounded by a 30 ° arc is:
[tex]A = 9.42 ft ^ 2[/tex]
