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If I were to draw 4 quadrants of circle inside a square, with each right angle being the angle between the arms of the quadrants, what will be the area of intersection.

Now I've tried this a few times and there's no way to find the area of the inner squarish figure which occurs twice in the intersection.

Finally, a preemptive apology, I am just a 15-year old who is a semi-Maths enthusiast who is unaware of proper terminologies.

The diagram (pardon, sire for 'tis drawn by me): https://i.stack.imgur.com/EzCrz.jpg

qedk
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