Convert the angle theta=290^(@) to radians. Express your answer exactly. theta=◻" radians "

Understanding degrees and radians: Understand the relationship between degrees and radians. One complete revolution (360 degrees) is equal to 2π radians. Therefore, to convert degrees to radians, we use the conversion factor π radians / 180 degrees.Setting up the conversion: Set up the conversion from degrees to radians for theta. theta in radians = theta in degrees * (π radians / 180 degrees)Substituting the given value: Substitute the given value of theta in degrees into the conversion formula. theta in radians = 290 degrees * (π radians / 180 degrees)Performing the multiplication: Perform the multiplication to find theta in radians. theta in radians = 290/180 * π theta in radians = 29/18 * πSimplifying the fraction: Simplify the fraction if possible. The fraction 29/18 cannot be simplified further, so the exact value of theta in radians is (29/18)π.

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Convert the angle
theta=290^(@) to radians.
Express your answer exactly.

theta=◻" radians "

Convert the angle $\theta=290^{\circ}$ to radians. $\newline$ Express your answer exactly. $\newline$ $\theta=\square \text { radians }$

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Q. Convert the angle

\theta=290^{\circ}

to radians.

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Understanding degrees and radians: Understand the relationship between degrees and radians. $\newline$ One complete revolution ( $360^\circ$ ) is equal to $2\pi$ radians. Therefore, to convert degrees to radians, we use the conversion factor $\frac{\pi \text{ radians}}{180^\circ}$ .
Setting up the conversion: Set up the conversion from degrees to radians for $\theta$ . $\theta$ in radians = $\theta$ in degrees $\times$ $\left(\frac{\pi \text{ radians}}{180 \text{ degrees}}\right)$
Substituting the given value: Substitute the given value of $\theta$ in degrees into the conversion formula. $\newline$ $\theta$ in radians = $290$ degrees $\times \left(\frac{\pi \text{ radians}}{180 \text{ degrees}}\right)$
Performing the multiplication: Perform the multiplication to find $\theta$ in radians. $\newline$ $\theta$ in radians = $\frac{290}{180} \times \pi$ $\newline$ $\theta$ in radians = $\frac{29}{18} \times \pi$
Simplifying the fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{29}{18}$ cannot be simplified further, so the exact value of theta in radians is $\left(\frac{29}{18}\right)\pi$ .