Express the following angle in radians 7°30.'

1.	Express the following angle in radians 7°30.'
Answer» : 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 \(\frac{\pi}{180}\) = \(\frac{\pi}{24}\) 2\(\pi\)=360° and 60'=1° ⇒1'=1/60º 7º30'=15/2º=(15/2)*(\(\pi\)/180)=0.130rad

Answer»

: 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 \(\frac{\pi}{180}\) = \(\frac{\pi}{24}\)

2\(\pi\)=360° and 60'=1°

⇒1'=1/60º

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

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