Konversi Satuan Derajat ke Radian
\(\color{blue} 1^{\circ} = \dfrac{\pi}{180^{\circ}}\text{ radian}\)
Contoh:
\(30^{\circ} = 30^{\circ} \times \color{blue} \dfrac{\pi}{180^{\circ}}\color{black} = \dfrac{\pi}{6}\text{ radian}\)
\(45^{\circ} = 45^{\circ} \times \color{blue} \dfrac{\pi}{180^{\circ}}\color{black} = \dfrac{\pi}{4}\text{ radian}\)
\(60^{\circ} = 60^{\circ} \times \color{blue} \dfrac{\pi}{180^{\circ}}\color{black} = \dfrac{\pi}{3}\text{ radian}\)
\(90^{\circ} = 90^{\circ} \times \color{blue} \dfrac{\pi}{180^{\circ}}\color{black} = \dfrac{\pi}{2}\text{ radian}\)
\(180^{\circ} = 1 \pi \text{ radian}\)
\(360^{\circ} = 2\pi \text{ radian}\)
Konversi Satuan Radian ke Derajat
\(\color{blue} 1 \text{ radian} = \dfrac{180^{\circ}}{\pi}\)
Contoh:
\(\dfrac{2}{3}\pi\text{ radian} = \dfrac{2}{3}\cancel{\pi}\times \color{blue} \dfrac{180^{\circ}}{\cancel{\pi}} \color{black} = 120^{\circ}\)
\(\dfrac{5}{4}\pi\text{ radian} = \dfrac{5}{4}\cancel{\pi}\times \color{blue} \dfrac{180^{\circ}}{\cancel{\pi}} \color{black} = 225^{\circ}\)
\(\dfrac{3}{8}\pi\text{ radian} = \dfrac{3}{8}\cancel{\pi}\times \color{blue} \dfrac{180^{\circ}}{\cancel{\pi}} \color{black} = 67,5^{\circ}\)