Question

Area of the shaded segment=

Answer 1

Answer: 6π-9√3 unit²

Explanation:

area of sector OBAO =Area of circle/6 (∵ 60°=360°/6)

= π×6²/6

= 6π unit²

now, area of triangle OAB=√3×6²/4 (∵ it is an equilateral triangle and area of equilateral triangle=√3×side²/4)

=9√3 unit²

Area of shaded region= area of sector OBAO- area of triangle OAB

= 6π-9√3 unit²

Answer 2

Alright, since the radius is 6, pi(6)^2=36pi is your area. Since 60/360=1/6, that means the overall section is 36pi/6=6pi. Since this can be made 6 times,
AB = 6 as 36/6=6 and OAB is equilateral, making the area of that
sqrt(3)*(6^2)/4 = 9sqrt(3). Therefore, the area of the shaded segment is
6pi-9sqrt(3)