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Convert the angle 4.5 radians to degrees, rounding to the nearest 10th. Answer:

Convert the angle 44.55 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:

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Full solution

Q. Convert the angle 44.55 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:
  1. Conversion Factor: To convert radians to degrees, we use the conversion factor that π\pi radians is equal to 180180 degrees. The formula to convert radians to degrees is: degrees = radians ×(180π)\times \left(\frac{180}{\pi}\right).
  2. Apply Formula: Now, we apply the formula to 4.54.5 radians: degrees = 4.5×(180/π)4.5 \times (180/\pi).
  3. Calculate Value: We calculate the value: degrees=4.5×(180/π)≈4.5×57.2958≈257.8321\text{degrees} = 4.5 \times (180/\pi) \approx 4.5 \times 57.2958 \approx 257.8321.
  4. Round Result: We round the result to the nearest tenth: degrees ≈257.8\approx 257.8.

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