Find Red Area?

Find the Area of Red Shaded Region... Find the Area Challenge!

Tricky Math Problem! Hard Math Problem! Geometry! Can you solve this?
Darren goes over one solution in this video!

0:00 Intro
0:16 Solution

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[JuanBurgundy-yxbj]

The sections of the semicircles that don’t include the overlapping portion will always be equal to one quarter of the square (25), so all you have to do is solve for the circle’s area divided by 2, add 25, and then subtract that from the whole of the square, which is 100. I got ~35.75 doing it in my head.

[emptinessname]

the red area is there it has "x" inside it

[bosssnurp]

If the white regions didn't overlap it would be much easier. I recall seeing a similar version of the question where it had no overlap between the semicirlces so you could just do (area of square)-(area of circle) because the two semicircles added up to a full circle.

[DexterDeveloper]

I'm gonna spend the rest of my energy on this problem, see you later.

Edit after trying to solve it : according to my calculations the area is approximately 35.7.

[archangecamilien]

Sort of cheating, lol, but first solution that comes to mind: use cartesian coordinates, calculate the area of the intersection between the two disks, etc...and then just do Area(square) - [Area of two circles - Area(intersection of two circles)], lol, should solve the problem...that should work, lol...