Semicircle DEF has diameter 4 \sqrt{2}4 2 and rests on top of a larger circle with diameter 8 and center C. What is the area of the shaded region DEFG?

[leenco]

Does anyone know how to solve this one?

[HoldMyBeer]

Find are of right angel triangle
Find area of sector
Then subtract Area of triangle from area of sector to get area highlighted in yellow,
Now, find area of semi-circle and subtract that with area of highlighted yellow portion to get area of DEFG

[leenco]

Thank you!