MP Board · Class 11 · Mathematics · Trigonometric FunctionsConvert $\frac{11}{16}$ radians into degrees.
We use the relation Degree measure = Radian measure $\times \frac{180}{\pi}$. Using $\pi = \frac{22}{7}$, we get $\frac{11}{16} \times \frac{180}{\pi} = \frac{11}{16} \times \frac{180 \times 7}{22} = \frac{315}{8}^{\circ} = 39\frac{3}{8}^{\circ}$. Since $\frac{3}{8}^{\circ} = \frac{3}{8} \times 60' = \frac{45}{2}' = 22\frac{1}{2}'$, and $\frac{1}{2}' = \frac{1}{2} \times 60'' = 30''$, the degree measure is $39^{\circ} 22' 30''$.
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Trigonometric Functions.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Trigonometric Functions.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Trigonometric Functions.