problems 7 - 9

convert the angle measure from degrees to radians.

\begin{tabular}{|c|c|}
\hline
degrees & radians \\
\hline
270 & \\
\hline
15 & \\
\hline
333 & \\
\hline
\end{tabular}

Question

problems 7 - 9

convert the angle measure from degrees to radians.

\begin{tabular}{|c|c|}
\hline
degrees & radians \\
\hline
270 & \\
\hline
15 & \\
\hline
333 & \\
\hline
\end{tabular}

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Degree to Radian Conversion" ], "new_concepts": [], "current_concepts": [ "Degree to Radian Conversion" ] } ## State the conversion formula $$ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} $$ ## Convert each angle measure $$ \begin{aligned} 270^\circ \times \frac{\pi}{180} &= \frac{3\pi}{2} \ 15^\circ \times \frac{\pi}{180} &= \frac{\pi}{12} \ 333^\circ \times \frac{\pi}{180} &= \frac{333\pi}{180} = \frac{37\pi}{20} \end{aligned} $$ Convert the angle measure from degrees to radians. | Degrees | Radians | | :---: | :---: | | 270 | $\frac{3\pi}{2}$ | | 15 | $\frac{\pi}{12}$ | | 333 | $\frac{37\pi}{20}$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Degree to Radian Conversion" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

State the conversion formula

Convert each angle measure

Answer:

Degrees	Radians
15	<blank>\(\frac{\pi}{12}\)</blank>
333	<blank>\(\frac{37\pi}{20}\)</blank>