Final answer:
The shaded region can be found by subtracting the area of the circle from the area of the rectangle, taking into consideration the significant figures of the radius.
Step-by-step explanation:
To calculate the shaded region in the provided scenario, we first need to find the area of the rectangle and the area of the circle. Given that the radius of the circle (r) is 8 cm, the area of the circle is calculated using the formula A = πr². Plugging in the value we get A = π × 8² cm², which would give a more precise number on a calculator with an eight-digit output, but since we are dealing with a radius with only two significant figures, we must limit our answer accordingly.
The rectangle has dimensions of 17 cm by 32 cm, so its area (A) is 17 cm × 32 cm. Subtracting the area of the circle from the area of the rectangle will give us the area of the shaded region.