Convert the angle theta=228^(@) to radians. Express your answer exactly. theta=◻" radians "

Convert to Radians: To convert degrees to radians, we use the conversion factor that 180 degrees is equal to pi radians. The formula to convert degrees to radians is: θ radians = θ degrees * (π radians / 180 degrees)Apply Formula: Now, we apply the formula to the given angle, theta = 228 degrees: θ radians = 228 degrees * (π radians / 180 degrees)Simplify Expression: We simplify the expression by dividing 228 by 180 and then multiplying by π: θ radians = (228 / 180) * π θ radians = (38 / 30) * π θ radians = (19 / 15) * πExact Value in Radians: The exact value in radians for theta is therefore: θ = (19/15) * π This is the simplest exact form of the angle in radians.

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Convert the angle
theta=228^(@) to radians.
Express your answer exactly.

theta=◻" radians "

Convert the angle $\theta=228^{\circ}$ to radians. $\newline$ Express your answer exactly. $\newline$ $\theta=\square \text { radians }$

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Q. Convert the angle

\theta=228^{\circ}

to radians.

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Convert to Radians: To convert degrees to radians, we use the conversion factor that $180$ degrees is equal to $\pi$ radians. The formula to convert degrees to radians is: $\newline$ $\theta$ radians = $\theta$ degrees * $(\pi$ radians / $180$ degrees)
Apply Formula: Now, we apply the formula to the given angle, $\theta = 228$ degrees: $\theta$ radians = $228$ degrees $* (\pi$ radians / $180$ degrees)
Simplify Expression: We simplify the expression by dividing $228$ by $180$ and then multiplying by $\pi$ :
$\theta$ radians = $(228 / 180) \times \pi$
$\theta$ radians = $(38 / 30) \times \pi$
$\theta$ radians = $(19 / 15) \times \pi$
Exact Value in Radians: The exact value in radians for theta is therefore: $\theta = \frac{19}{15} \times \pi$ This is the simplest exact form of the angle in radians.