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Convert the angle -3 radians to degrees, rounding to the nearest 10th. Answer:

Convert the angle −3-3 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:

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Full solution

Q. Convert the angle −3-3 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 equivalent to 180180 degrees. The formula to convert radians to degrees is: degrees=radians×(180π)\text{degrees} = \text{radians} \times (\frac{180}{\pi}).
  2. Apply Formula: Now, we apply the formula to −3-3 radians: degrees = −3×(180/π)-3 \times (180/\pi).
  3. Calculate Value: We calculate the value: degrees=−3×(180/π)≈−3×57.2958≈−171.887\text{degrees} = -3 \times (180/\pi) \approx -3 \times 57.2958 \approx -171.887.
  4. Round to Nearest 1010th: Rounding to the nearest 1010th, we get −171.9-171.9 degrees.

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