Convert the angle $\theta=\frac{133 \pi}{72}$ radians to degrees.
Express your answer exactly.
$$
\theta=
$$

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Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To convert radians to degrees, multiply by $\frac{180^\circ}{\pi}$. ‖ ‖ step 2 ⋮ Multiply $\frac{133\pi}{72}$ by $\frac{180^\circ}{\pi}$ to convert to degrees. ‖ ‖ step 3 ⋮ Simplify the expression: $\frac{133\pi}{72} imes \frac{180^\circ}{\pi} = \frac{133 imes 180^\circ}{72}$. ‖ ‖ step 4 ⋮ Cancel the $\pi$ in the numerator and denominator and simplify the fraction: $\frac{133 imes 180^\circ}{72} = \frac{133 imes 5^\circ}{2} = 332.5^\circ$. ‖ ‖ step 5 ⋮ Express the decimal in degrees and minutes: $332.5^\circ = 332^\circ + 0.5 imes 60' = 332^\circ 30'$. ‖ ∻[1] Answer∻ ⚹ $332^\circ 30'$ ⚹ ∻Key Concept∻ ⚹Conversion from radians to degrees⚹ ∻Explanation∻ ⚹To convert an angle from radians to degrees, multiply the radian measure by $\frac{180^\circ}{\pi}$. After multiplying, simplify the expression to get the degree measure, and if needed, convert the decimal part to minutes.⚹◊What is the formula to convert an angle from radians to degrees?⍭ Generate me a similar question◊

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