Convert the angle theta=260^(@) to radians. Express your answer exactly.

Conversion factor for degrees to radians: To convert degrees to radians, we use the conversion factor that $ \pi $ radians is equivalent to 180 degrees. The formula to convert degrees to radians is given by: \[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]Applying the formula to the given angle: Now, we apply the formula to the given angle $ \theta = 260^\circ $: \[ \theta_{\text{radians}} = 260^\circ \times \frac{\pi}{180} \]Performing the multiplication to find the radian measure: Perform the multiplication to find the radian measure: \[ \theta_{\text{radians}} = \frac{260}{180} \pi \] \[ \theta_{\text{radians}} = \frac{13}{9} \pi \] This is the exact radian measure of the angle.

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Convert the angle
theta=260^(@) to radians.
Express your answer exactly.

Convert the angle $\theta=260^{\circ}$ to radians. $\newline$ Express your answer exactly. $\newline$ $\theta=\square \text { radians }$

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Math Problems

Algebra 1

Standard form: find x- and y-intercepts

Full solution

Q. Convert the angle

\theta=260^{\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 $\pi$ radians is equivalent to $180$ degrees. The formula to convert degrees to radians is given by: $\newline$ $\text{radians} = \text{degrees} \times \frac{\pi}{180}$
Applying the formula to the given angle: Now, we apply the formula to the given angle $\theta = 260^\circ$ : $\newline$ $\theta_{\text{radians}} = 260^\circ \times \frac{\pi}{180}$
Performing the multiplication to find the radian measure: Perform the multiplication to find the radian measure: $\newline$ $\theta_{\text{radians}} = \frac{260}{180} \pi$ $\newline$ $\theta_{\text{radians}} = \frac{13}{9} \pi$ $\newline$ This is the exact radian measure of the angle.