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Convert the angle -5 radians to degrees, rounding to the nearest 10th. Answer:

Convert the angle −5-5 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:

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Full solution

Q. Convert the angle −5-5 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:
  1. Convert radians 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×(180/π)\text{degrees} = \text{radians} \times (180/\pi).
  2. Apply formula to −5-5 radians: Now, we apply the formula to −5-5 radians: degrees = −5×(180/π)-5 \times (180/\pi).
  3. Calculate value: We calculate the value: degrees=−5×(180/π)≈−5×57.2958≈−286.479\text{degrees} = -5 \times (180/\pi) \approx -5 \times 57.2958 \approx -286.479.
  4. Round to nearest 1010th: Rounding to the nearest 1010th, we get −286.5-286.5 degrees.

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