area

[ebon elm]

Hint: the diagonal of the small square is the radius of the quatre circle

And the sides of the large square are also radii of the quatre circle

Well let the side length of the small square be x

Then what would the side length of the big square be?

In terms of x

Correct

Now how would u calculate the area of the shaded region

Think about adding and subtracting areas of different shapes

Almost

Remember the radius of the circle is x√2

Not just x

Yep

Then u can work out the area of the large square and find the percentage

Yep

First to make the algebra easy i would factor out x²

Then divide the shaded area by the total area and multiply by 100

Yes