Calculate the area - really stuck The circle is given by $x^2+y^2=25$.
FGHI are midpoints on the rhombus
Calculate the area of FGLMHIJK (taking into account the curved lines)


My first instinct would be to take these steps:


*

*Compute the radius of the circle using $G$. (Oh, you were given the radius. I didn't even see that until just a moment ago.)

*Use the radius to find $L$'s location.

*Write an equation for the circle and the rhombus side in the first quadrant, and then use integral calculus to find out the area of the sliver between $G$ and $L$.

*Then, I would compute the area of the circle sector in the first quadrant, then subtract the sliver area from the last bullet point.

*Finally, I would appeal to symmetry and multiply by 4.

