Question

Express the following angle in radians 7°30.'

Answer 1

: Formula : Angle in radians = Angle in degrees × \(\frac{\pi}{180}\)

Angle in radians = \(\frac{Angle\,in \,minutes}{60}\)

Therefore, the total angle = 7 + \(\frac{30}{60}\) = 7.5

Therefore. Angle in radians = 7.5 x \(\frac{\pi}{180}\) = \(\frac{\pi}{24}\)

Answer 2

                                   2\(\pi\)=360° and 60'=1°

                                  ⇒1'=1/60º

        7º30'=15/2º=(15/2)*(\(\pi\)/180)=0.130rad