Convert the angle theta=(23 pi)/(20) radians to degrees. Express your answer exactly. theta=◻" 。 "

Conversion factor for radians to degrees: To convert radians to degrees, we use the conversion factor that pi radians is equal to 180 degrees. The conversion formula is: theta (in degrees) = theta (in radians) * (180/pi)Substituting the value of theta: Substitute theta=(23 pi)/(20) into the conversion formula: theta (in degrees) = (23 pi)/(20) * (180/pi)Simplifying the expression: Simplify the expression by canceling out the pi terms: theta (in degrees) = (23/20) * 180Performing the multiplication: Perform the multiplication to find the value of theta in degrees: theta (in degrees) = 23 * 9Calculating the product: Calculate the product: theta (in degrees) = 207

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Convert the angle
theta=(23 pi)/(20) radians to degrees.
Express your answer exactly.

theta=◻" 。 "

Convert the angle $\theta=\frac{23 \pi}{20}$ radians to degrees. $\newline$ Express your answer exactly. $\newline$ $\theta=\square^{\circ}$

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Q. Convert the angle

\theta=\frac{23 \pi}{20}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Conversion factor for radians to degrees: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equal to $180$ degrees. The conversion formula is: $\newline$ $\theta$ (in degrees) = $\theta$ (in radians) $\times \left(\frac{180}{\pi}\right)$
Substituting the value of theta: Substitute $\theta=\frac{23 \pi}{20}$ into the conversion formula: $\newline$ $\theta \text{ (in degrees)} = \frac{23 \pi}{20} \times \frac{180}{\pi}$
Simplifying the expression: Simplify the expression by canceling out the $\pi$ terms: $\theta$ (in degrees) = $\frac{23}{20}$ $*$ $180$
Performing the multiplication: Perform the multiplication to find the value of $\theta$ in degrees: $\theta \text{ (in degrees)} = 23 \times 9$
Calculating the product: Calculate the product: $\theta$ (in degrees) = $207$