The area of the circle that can be inscribed in a square of side 8 cm is ___________. (a) 36 π cm2 (b)  16 π cm2 (c) 12 π cm2 (d) 9 π cm2

To find the area of the circle that can be inscribed in a square, we first need to understand that the diameter of the circle is equal to the side of the square.

Step 1: The side of the square is given as 8 cm. So, the diameter of the circle is also 8 cm.

Step 2: The radius of the circle is half of the diameter. So, the radius of the circle is 8/2 = 4 cm.

Step 3: The formula to find the area of a circle is πr², where r is the radius of the circle.

Step 4: Substituting the value of the radius in the formula, we get the area of the circle as π*(4 cm)² = 16π cm².

So, the area of the circle that can be inscribed in a square of side 8 cm is 16π cm². Therefore, the correct answer is (b) 16 π cm².