Convert 6 radians into degree measure. | vedclass

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Question

(A) We know that $\pi 	ext{ radians} = 180^{\circ}$.Therefore,$6 	ext{ radians} = \frac{180}{\pi} 	imes 6 	ext{ degrees} = \frac{1080 	imes 7}{22

Vedclass · Accepted Answer

$343^{\circ} 38^{\prime} 11^{\prime \prime}$

Vedclass · Answer

(A) We know that $\pi 	ext{ radians} = 180^{\circ}$.Therefore,$6 	ext{ radians} = \frac{180}{\pi} 	imes 6 	ext{ degrees} = \frac{1080 	imes 7}{22} 	ext{ degrees} \approx 343.6363^{\circ}$.Converting the decimal part to minutes: $0.6363^{\circ} = 0.6363 	imes 60^{\prime} = 38.1818^{\prime} = 38^{\prime} + 0.1818^{\prime}$.Converting the remaining decimal part to seconds: $0.1818^{\prime} = 0.1818 	imes 60^{\prime \prime} \approx 10.9^{\prime \prime} \approx 11^{\prime \prime}$.Thus,$6 	ext{ radians} \approx 343^{\circ} 38^{\prime} 11^{\prime \prime}$.

Convert $6$ radians into degree measure.

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