Convert the angle theta=(14 pi)/(9) 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.Multiply given angle by conversion factor: We multiply the given angle in radians by the conversion factor (180 degrees / pi radians) to convert it to degrees. theta = (14 pi)/(9) * (180 degrees / pi)Simplify expression and cancel out terms: Simplify the expression by canceling out the pi terms and performing the multiplication. theta = (14/9) * 180 degreesCalculate product to find degree measure: Calculate the product to find the degree measure of the angle. theta = (14 * 180) / 9 degrees theta = 2520 / 9 degrees theta = 280 degrees

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Convert the angle
theta=(14 pi)/(9) radians to degrees.
Express your answer exactly.

theta=◻" 。 "

Convert the angle $\theta=\frac{14 \pi}{9}$ radians to degrees. $\newline$ Express your answer exactly. $\newline$ $\theta=\square^{\circ}$

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Q. Convert the angle

\theta=\frac{14 \pi}{9}

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.
Multiply given angle by conversion factor: We multiply the given angle in radians by the conversion factor $\frac{180 \text{ degrees}}{\pi \text{ radians}}$ to convert it to degrees. $\newline$ $\theta = \frac{14\pi}{9} \times \frac{180 \text{ degrees}}{\pi}$
Simplify expression and cancel out terms: Simplify the expression by canceling out the $\pi$ terms and performing the multiplication. $\theta = \left(\frac{14}{9}\right) \times 180 \text{ degrees}$
Calculate product to find degree measure: Calculate the product to find the degree measure of the angle. $\newline$ $\theta = \frac{14 \times 180}{9}$ degrees $\newline$ $\theta = \frac{2520}{9}$ degrees $\newline$ $\theta = 280$ degrees