If theta=(pi)/(9) radians, what is the value of theta in degrees?

Conversion Formula: To convert radians to degrees, we use the conversion factor that 180 degrees is equal to pi radians. The formula to convert from radians to degrees is: \[ \text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right) \]Substitution of Theta: Now we substitute theta which is $\frac{\pi}{9}$ radians into the formula: \[ \text{degrees} = \left( \frac{\pi}{9} \right) \times \left( \frac{180}{\pi} \right) \]Simplification: We can simplify the expression by canceling out the pi terms: \[ \text{degrees} = \frac{180}{9} \]Final Calculation: Divide 180 by 9 to find the value in degrees: \[ \text{degrees} = 20 \]

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If
theta=(pi)/(9) radians, what is the value of
theta in degrees?

If $\theta=\frac{\pi}{9}$ radians, what is the value of $\theta$ in degrees?

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Algebra 2

Inverses of csc, sec, and cot

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Q. If

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

radians, what is the value of

\theta

in degrees?

Conversion Formula: To convert radians to degrees, we use the conversion factor that $180$ degrees is equal to pi radians. The formula to convert from radians to degrees is: $\newline$ $\text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right)$
Substitution of Theta: Now we substitute theta which is $\frac{\pi}{9}$ radians into the formula: $\newline$ $\text{degrees} = \left( \frac{\pi}{9} \right) \times \left( \frac{180}{\pi} \right)$
Simplification: We can simplify the expression by canceling out the pi terms: $\newline$ $\text{degrees} = \frac{180}{9}$
Final Calculation: Divide $180$ by $9$ to find the value in degrees: $\newline$ $\text{degrees} = 20$