A square is inscribed in a circle as shown. If the radius of the circle is 9, what is the area of the shaded region, rounded to the nearest hundredth?

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

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