Question
How many degrees are equal to \( \frac{29 \pi}{18} \) radians?
Ask by Mullins Schofield. in the United States
Jan 21,2025
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Answer
\(290\) degrees
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Beyond the Answer
To convert radians to degrees, you can use the conversion factor that \( 180^{\circ} \) is equal to \( \pi \) radians. Thus, to convert \( \frac{29 \pi}{18} \) radians to degrees, you can multiply by \( \frac{180^{\circ}}{\pi} \). \[ \frac{29 \pi}{18} \times \frac{180^{\circ}}{\pi} = \frac{29 \times 180^{\circ}}{18} \] Now, simplify the fraction: \[ \frac{29 \times 180^{\circ}}{18} = 29 \times 10^{\circ} = 290^{\circ} \] So, \( \frac{29 \pi}{18} \) radians is equal to \( 290 \) degrees.
