Evaluate to three decimal places: 2π√(98-1)/(32-2)
|Mathematics
Evaluate to three decimal places: 2π√(98-1)/(32-2)
ScanSolve AI Answer
Answer
10.968
Step 1: Evaluate the fraction inside the square root.
32.298.1≈3.0465838509
Step 2: Calculate the square root of the result.
3.0465838509≈1.74544690
Step 3: Multiply by 2π.
2π×1.74544690≈2×3.1415926535×1.74544690≈10.967999
Step 4: Round the final answer to three decimal places.
10.967999≈10.968
The full calculation is:
2π32.298.1=2π3.046583850931677=2π×1.745446900119311=3.141592653589793×3.490893800238622=10.967999099...
Rounding to three decimal places:
10.968
Was this helpful?
Need help with your own homework?
Get instant step-by-step solutions to any question. Free to start.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Evaluate the fraction inside the square root. (98.1)/(32.2) ≈ 3.0465838509 Step 2: Calculate the square root of the result. sqrt(3.0465838509) ≈ 1.74544690 Step 3: Multiply by 2. 2 × 1.74544690 ≈ 2 × 3.1415926535 × 1.74544690 ≈ 10.967999 Step 4: Round the final answer to three decimal places. 10.967999 ≈ 10.968 The full calculation is: 2((98.1)/(32.2)) = 2(3.046583850931677) = 2 × 1.745446900119311 = 3.141592653589793 × 3.490893800238622 = 10.967999099... Rounding to three decimal places: 10.968