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Convert the angle 2 radians to degrees, rounding to the nearest 10th. Answer:

Convert the angle 22 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:

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Full solution

Q. Convert the angle 22 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:
  1. Convert to degrees: To convert radians to degrees, we use the conversion factor that π\pi radians is equivalent to 180180 degrees. The formula to convert radians to degrees is: degrees=radians×(180π)\text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right). \newlineNow, let's apply this formula to convert 22 radians to degrees.\newlinedegrees=2×(180π)\text{degrees} = 2 \times \left(\frac{180}{\pi}\right)
  2. Apply formula: Perform the calculation using the value of π\pi as approximately 3.141593.14159.
    degrees=2×(1803.14159)≈2×57.2958≈114.5916\text{degrees} = 2 \times \left(\frac{180}{3.14159}\right) \approx 2 \times 57.2958 \approx 114.5916
  3. Perform calculation: Now, we round the result to the nearest 1010th. degrees≈114.6degrees \approx 114.6 (rounded to the nearest 1010th)

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