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Express in radians 48∘37′30′′48^\circ 37' 30''

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Full solution

Q. Express in radians 48∘37′30′′48^\circ 37' 30''
  1. Convert to Decimal Degrees: Convert degrees, minutes, and seconds to decimal degrees.\newline48∘37′30′′=48+3760+303600=48.625∘48^\circ 37' 30'' = 48 + \frac{37}{60} + \frac{30}{3600} = 48.625^\circ.
  2. Convert to Radians: Convert decimal degrees to radians using the formula θ radians=θ degrees×(π/180)\theta \text{ radians} = \theta \text{ degrees} \times (\pi/180). \newline48.625∘×(π/180)≈0.8481 radians.48.625^\circ \times (\pi/180) \approx 0.8481 \text{ radians}.

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