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निम्नलिखित रेडियन माप के संगत डिग्री माप ज्ञात कीजिए ( $\pi=\frac{22}{7}$ का प्रयोग करें)
$\frac{11}{16}$
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
Solution
We know that $\pi$ radian $=180^{\circ}$
$\therefore \frac{11}{16}$ radian $=\frac{180}{\pi} \times \frac{11}{16}$ degree $=\frac{45 \times 11}{\pi \times 4}$ degree
$=\frac{45 \times 11 \times 7}{22 \times 4}$ degree $=\frac{315}{8}$ degree
$=36 \frac{3}{8}$ degree
$=39^{\circ}+\frac{3 \times 60}{8}$ minutes $\left[1^{\circ}=60^{\prime}\right]$
$=39^{\circ}+22^{\prime}+\frac{1}{2}$ minutes
$=39^{\circ} 22^{\prime} 30^{\prime \prime} \quad\left[1^{\prime}=60^{\prime \prime}\right]$
