Advertisement Remove all ads

Find the Radian Measure Corresponding to the Following Degree Measure: 7° 30' - Mathematics

Find the radian measure corresponding to the following degree measure: 7° 30'

Advertisement Remove all ads

Solution

We have:
\[180^\circ = \pi \text{ rad }\]
\[ \therefore 1^\circ = \frac{\pi}{180} \text{ rad }\]
\[ 30' = \left( \frac{1}{2} \right)^\circ \]
\[ \therefore 7^\circ 30' = \left( 7\frac{1}{2} \right)^\circ \]
\[ = \left( \frac{15}{2} \right)^\circ \]
\[ = \frac{15}{2} \times \frac{\pi}{180}\]
\[ = \frac{\pi}{24}\text{ rad }\]

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 4 Measurement of Angles
Exercise 4.1 | Q 2.6 | Page 15
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×