Convert the angle theta=100^(@) to radians. Express your answer exactly. theta=◻" radians "

Conversion factor for degrees to radians: To convert degrees to radians, we use the conversion factor that 180 degrees is equal to π radians.Setting up the conversion for theta: We set up the conversion for theta from degrees to radians using the conversion factor. theta in radians = (theta in degrees) * (π radians / 180 degrees)Substituting theta in degrees: Substitute 100 degrees for theta in degrees in the conversion formula. theta in radians = (100 degrees) * (π radians / 180 degrees)Performing the multiplication: Perform the multiplication to find theta in radians. theta in radians = 100/180 * πSimplifying the fraction: Simplify the fraction 100/180 by dividing both the numerator and the denominator by their greatest common divisor, which is 20. theta in radians = (100/20) / (180/20) * π theta in radians = 5/9 * π

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Convert the angle
theta=100^(@) to radians.
Express your answer exactly.

theta=◻" radians "

Convert the angle $\theta=100^{\circ}$ to radians. $\newline$ Express your answer exactly. $\newline$ $\theta=\square \text { radians }$

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Q. Convert the angle

\theta=100^{\circ}

to radians.

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Conversion factor for degrees to radians: To convert degrees to radians, we use the conversion factor that $180$ degrees is equal to $\pi$ radians.
Setting up the conversion for theta: We set up the conversion for theta from degrees to radians using the conversion factor. $\newline$ $\theta$ in radians = $\theta$ in degrees) * $\left(\frac{\pi \text{ radians}}{180 \text{ degrees}}\right)$
Substituting theta in degrees: Substitute $100$ degrees for $\theta$ in degrees in the conversion formula. $\newline$ $\theta$ in radians = $(100 \text{ degrees}) \times (\pi \text{ radians} / 180 \text{ degrees})$
Performing the multiplication: Perform the multiplication to find $\theta$ in radians. $\theta$ in radians = $\frac{100}{180} \times \pi$
Simplifying the fraction: Simplify the fraction $\frac{100}{180}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $20$ . $\newline$ $\theta$ in radians = $\left(\frac{100}{20}\right) / \left(\frac{180}{20}\right) \times \pi$ $\newline$ $\theta$ in radians = $\frac{5}{9} \times \pi$