Find the Radian Measure Corresponding to the Following Degree Measure : \( 125^\circ 30′ \)

First convert minutes into degrees:

\[ 30′ = \frac{30}{60}^\circ = \frac{1}{2}^\circ \]

Therefore,

\[ 125^\circ 30′ = 125.5^\circ = \frac{251}{2}^\circ \]

To convert a degree measure into radians, we use the formula:

\[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \]

Conversion into Radians

\[ \frac{251}{2}^\circ \times \frac{\pi}{180^\circ} \]

\[ = \frac{251\pi}{360} \]

Answer

\[ \frac{251\pi}{360} \]