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Find the Radian Measure Corresponding to the Following Degree Measure: 125° 30' - Mathematics

Find the radian measure corresponding to the following degree measure: 125° 30'

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Solution

We have:
\[180^\circ = \pi \text{ rad }\]
\[ \therefore 1^\circ = \frac{\pi}{180} \text{ rad }\]
\[ 30' = \left( \frac{1}{2} \right)^\circ \]
\[ \therefore 125^\circ  30' = \left( 125\frac{1}{2} \right)^\circ \]
\[ = \left( \frac{251}{2} \right)^\circ \]
\[ = \frac{251}{2} \times \frac{\pi}{180}\]
\[ = \frac{251\pi}{360} \text{ rad }\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 4 Measurement of Angles
Exercise 4.1 | Q 2.7 | Page 15
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