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

Understand radians and degrees: Understand the relationship between radians and degrees. One complete revolution around a circle is 2π radians or 360 degrees. Therefore, to convert radians to degrees, we use the conversion factor 180 degrees/π radians.Multiply by conversion factor: Multiply the given radian measure by the conversion factor to convert to degrees. (17π/12) radians * (180 degrees/π radians) = (17 * 180 degrees) / 12Perform multiplication and division: Perform the multiplication and division to find the degree measure. (17 * 180 degrees) / 12 = 3060 degrees / 12 = 255 degrees

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

Convert the angle $\frac{17 \pi}{12}$ radians to degrees. $\newline$ Answer:

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Precalculus

Convert between radians and degrees

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Q. Convert the angle

\frac{17 \pi}{12}

radians to degrees.

\newline

Answer:

Understand radians and degrees: Understand the relationship between radians and degrees. $\newline$ One complete revolution around a circle is $2\pi$ radians or $360$ degrees. Therefore, to convert radians to degrees, we use the conversion factor $180$ degrees/ $\pi$ radians.
Multiply by conversion factor: Multiply the given radian measure by the conversion factor to convert to degrees. $\newline$ $(\frac{17\pi}{12})$ radians $*$ $(\frac{180 \text{ degrees}}{\pi \text{ radians}})$ = $(\frac{17 \times 180 \text{ degrees}}{12})$
Perform multiplication and division: Perform the multiplication and division to find the degree measure. $\newline$ $(17 \times 180 \text{ degrees}) / 12 = 3060 \text{ degrees} / 12 = 255 \text{ degrees}$