Evaluate to three decimal places: 2π√(98-1)/(32-2)

Step 1: Evaluate the fraction inside the square root. $\frac{98.1}{32.2} \approx 3.0465838509$

Step 2: Calculate the square root of the result. $\sqrt{3.0465838509} \approx 1.74544690$

Step 3: Multiply by $2\pi$. $2\pi \times 1.74544690 \approx 2 \times 3.1415926535 \times 1.74544690 \approx 10.967999$

Step 4: Round the final answer to three decimal places. $10.967999 \approx 10.968$

The full calculation is: $2\pi\sqrt{\frac{98.1}{32.2}}$ $= 2\pi\sqrt{3.046583850931677}$ $= 2\pi \times 1.745446900119311$ $= 3.141592653589793 \times 3.490893800238622$ $= 10.967999099...$ Rounding to three decimal places: $10.968$