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Convert the angle (17 pi)/(12) radians to degrees. Answer:

Convert the angle 17π12 \frac{17 \pi}{12} radians to degrees.\newlineAnswer:

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Full solution

Q. Convert the angle 17π12 \frac{17 \pi}{12} radians to degrees.\newlineAnswer:
  1. Understand radians and degrees: Understand the relationship between radians and degrees.\newlineOne complete revolution around a circle is 2π2\pi radians or 360360 degrees. Therefore, to convert radians to degrees, we use the conversion factor 180180 degrees/π\pi radians.
  2. Multiply by conversion factor: Multiply the given radian measure by the conversion factor to convert to degrees.\newline(17π12)(\frac{17\pi}{12}) radians ∗* (180 degreesπ radians)(\frac{180 \text{ degrees}}{\pi \text{ radians}}) = (17×180 degrees12)(\frac{17 \times 180 \text{ degrees}}{12})
  3. Perform multiplication and division: Perform the multiplication and division to find the degree measure.\newline(17×180 degrees)/12=3060 degrees/12=255 degrees(17 \times 180 \text{ degrees}) / 12 = 3060 \text{ degrees} / 12 = 255 \text{ degrees}

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