The relationship of arcs is:
S '/ S = ((11/6) * pi * 6) / (2 * pi * 6)
Rewriting we have:
S '/ S = ((11/6)) / (2)
S '/ S = 11/12
Therefore, the area of the shaded region is:
A '= (S' / S) * A
Where A: area of the complete circle:
A '= (11/12) * pi * 6^2
A '= (11/12) * pi * 36
A '= (11) * pi * 3
A '= (33) * pi
Answer:
The area of the shaded region is:
A '= (33) * pi
