Find the degree measure corresponding to the | vedclass

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Question

(A) We know that $\pi 	ext{ radian} = 180^{\circ}$.$	herefore \frac{11}{16} 	ext{ radian} = \frac{180}{\pi} 	imes \frac{11}{16} 	ext{ degree}$.Us

Vedclass · Accepted Answer

$39^{\circ} 22^{\prime} 30^{\prime \prime}$

Vedclass · Answer

(A) We know that $\pi 	ext{ radian} = 180^{\circ}$.$	herefore \frac{11}{16} 	ext{ radian} = \frac{180}{\pi} 	imes \frac{11}{16} 	ext{ degree}$.Using $\pi = \frac{22}{7}$,we get: $\frac{180 	imes 7}{22} 	imes \frac{11}{16} = \frac{180 	imes 7}{2 	imes 16} = \frac{90 	imes 7}{16} = \frac{45 	imes 7}{8} = \frac{315}{8} 	ext{ degree}$.$= 39 \frac{3}{8} 	ext{ degree} = 39^{\circ} + \frac{3}{8} 	imes 60^{\prime} \quad [\because 1^{\circ} = 60^{\prime}]$.$= 39^{\circ} + \frac{180}{8}^{\prime} = 39^{\circ} + 22.5^{\prime} = 39^{\circ} + 22^{\prime} + 0.5^{\prime}$.$= 39^{\circ} + 22^{\prime} + 0.5 	imes 60^{\prime \prime} \quad [\because 1^{\prime} = 60^{\prime \prime}]$.$= 39^{\circ} 22^{\prime} 30^{\prime \prime}$.

Find the degree measure corresponding to the following radian measure (Use $\pi = \frac{22}{7}$): $\frac{11}{16}$ radian.

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