- Home
- Standard 11
- Mathematics
3.Trigonometrical Ratios, Functions and Identities
easy
અંશ માપ શોધો. ( $\pi=\frac{22}{7}$ લો. ) $\frac{11}{16}$
A
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
B
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
C
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
D
$39^{\circ} 22^{\prime} 30^{\prime \prime}$
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
$=39^{\circ} 22^{\prime} 30^{\prime \prime} \quad\left[1^{\prime}=60^{\prime \prime}\right]$
Standard 11
Mathematics