Question

convert 40 deegre 48 minute in radian​

Answer 1

Question.

convert 40 deegre 48 minute in radian.

$\red{ \huge \bf{solution}} \\ \\ degree \: measure \: \implies \: 40 \degree + \: 48 \: minutes \\ \\ \therefore \: 1 \degree = 60 \: minutes \: \: \\ \\ \implies \: 40 \degree + \frac{48 \degree}{60} \\ \\ \: degree \: measure \implies \: \frac{ \: \: 204 \degree}{5} \\ \\ we \: know \: that \: \\ \\ \\ radian \: measure = \frac{ \pi}{180} \times degree \: measure \\ \\ radian \: measure = \frac{ \pi}{180} \times \frac{204}{5} = \frac{51}{225} \pi \:$