The degree measure of frac{pi}{32} radians is | vedclass

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Question

(C) To convert radians to degrees,we use the formula: $	ext{Degree} = 	ext{Radian} 	imes \frac{180^{\circ}}{\pi}$.Given the angle is $\frac{\pi}{32

Vedclass · Accepted Answer

$5^{\circ} 37^{\prime} 30^{\prime \prime}$

Vedclass · Answer

(C) To convert radians to degrees,we use the formula: $	ext{Degree} = 	ext{Radian} 	imes \frac{180^{\circ}}{\pi}$.Given the angle is $\frac{\pi}{32}$ radians.$	ext{Degree measure} = \frac{\pi}{32} 	imes \frac{180^{\circ}}{\pi} = \frac{180}{32}^{\circ} = \frac{45}{8}^{\circ} = 5 \frac{5}{8}^{\circ}$.Now,convert the fractional part to minutes: $5^{\circ} + (\frac{5}{8} 	imes 60)^{\prime} = 5^{\circ} + (\frac{300}{8})^{\prime} = 5^{\circ} + 37.5^{\prime} = 5^{\circ} 37^{\prime} + 0.5^{\prime}$.Convert the remaining fractional part to seconds: $0.5^{\prime} = (0.5 	imes 60)^{\prime \prime} = 30^{\prime \prime}$.Thus,the final measure is $5^{\circ} 37^{\prime} 30^{\prime \prime}$.

The degree measure of $\frac{\pi}{32}$ radians is equal to:

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