A circle of radius 6 cm is inscribed in a square of side 12 cm. Find the area of the shaded region.

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Step-by-Step Solution

Step 1: Calculate the area of the square

The problem states that a square has a side length of 12 cm. To find the area of the square, we multiply the side length by itself.

Step 2: Calculate the area of the circle

The problem states that a circle with a radius of 6 cm is inscribed in the square. To find the area of the circle, we use the formula for the area of a circle, where $r$ is the radius.

Step 3: Calculate the area of the shaded region

The shaded region is the area of the square minus the area of the inscribed circle. We subtract the area of the circle from the area of the square to find the area of the shaded region.