Convert the angle theta=(17 pi)/(18) radians to degrees. Express your answer exactly. theta=◻" 。 "

Understanding radians and degrees: Understand the relationship between radians and degrees. To convert an angle from radians to degrees, we use the conversion factor that π radians is equal to 180 degrees.Setting up the conversion formula: Set up the conversion from radians to degrees for θ. θ in degrees = θ in radians × (180°/π)Substituting the given value: Substitute the given value of θ in radians into the conversion formula. θ in degrees = ((17π)/18) × (180°/π)Simplifying the expression: Simplify the expression by canceling out the π terms and multiplying the remaining terms. θ in degrees = (17/18) × 180°Performing the multiplication: Perform the multiplication to find the value of θ in degrees. θ in degrees = 17 × 10° θ in degrees = 170°

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Convert the angle
theta=(17 pi)/(18) radians to degrees.
Express your answer exactly.

theta=◻" 。 "

Convert the angle $\theta=\frac{17 \pi}{18}$ radians to degrees. $\newline$ Express your answer exactly. $\newline$ $\theta=\square^{\circ}$

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Q. Convert the angle

\theta=\frac{17 \pi}{18}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Understanding radians and degrees: Understand the relationship between radians and degrees. $\newline$ To convert an angle from radians to degrees, we use the conversion factor that $\pi$ radians is equal to $180$ degrees.
Setting up the conversion formula: Set up the conversion from radians to degrees for $\theta$ . $\theta$ in degrees = $\theta$ in radians $\times$ $(180^\circ/\pi)$
Substituting the given value: Substitute the given value of $\theta$ in radians into the conversion formula. $\theta$ in degrees = $\left(\frac{17\pi}{18}\right) \times \left(\frac{180^\circ}{\pi}\right)$
Simplifying the expression: Simplify the expression by canceling out the $\pi$ terms and multiplying the remaining terms. $\theta$ in degrees = $\left(\frac{17}{18}\right) \times 180^\circ$
Performing the multiplication: Perform the multiplication to find the value of $\theta$ in degrees. $\newline$ $\theta$ in degrees = $17 \times 10^\circ$ $\newline$ $\theta$ in degrees = $170^\circ$