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Never mind. The picture used to say  "Wait for moderation." ???

If you solved it yourself, good for you!

Actually, could you tell me how you got your answer? I'm curious.

I think I might know. He first found the area of the whole circle and multiplied it by 150/360 (to find the area of the sector) and then subtracted the area of the triangle.

How might you find the area of the triangle? :)

You can find the area of the triangle by using the formula:  Area  =  ½·a·b·sin(C)

r = 27.8

Area of sector   A_s = [(r²pi) /360°] * 150° = 1011.645194 in²

Area of triangle   A_t = [ sin(15°) * 27.8] * [ cos(15°) * 27.8 ] = 193.21 in²

Shaded area       A = A_s - A_t = 818.435194 in²