Find the Radian Measure Corresponding to the Following Degree Measure : \( 7^\circ 30′ \)

First convert minutes into degrees:

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

Therefore,

\[ 7^\circ 30′ = 7.5^\circ = \frac{15}{2}^\circ \]

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

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

Conversion into Radians

\[ \frac{15}{2}^\circ \times \frac{\pi}{180^\circ} \]

\[ = \frac{15\pi}{360} \]

\[ = \frac{\pi}{24} \]

Answer

\[ \frac{\pi}{24} \]