I think i know how to find the angles KAG and KAH
that's what i did: (this is the picture from my assignment sheet)
then i have to find the shades areas A1,A2 and A3 but i don't know how to start it.
2026-04-04 12:34:59.1775306099
Find the shaded areas A1, A2, A3
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As one of the dotted lines in your first diagram is marked "$R=2$" I think we can assume the cutout is supposed to be a quarter circle (but perhaps you should check with your instructor).
Imagine sticking a piece of paper onto the curved surface. If you use a bit of imagination I think you should be able to see that it will be possible to take the paper and flatten it out (with no tearing or wrinkling) and that it will be a rectangle. So the area is just the area of a rectangle: the height is given and the width will be the length of a quarter circle (why? - see the original diagram) with radius $2$. I think you should be able to find $A_1$ from this - try it.
Hint for $A_2$: divide the shape into two simpler shapes and add their areas.
Hint for $A_3$: similar to $A_1$, but harder (a bit) because the vertical sides are of different lengths.
Good luck!