Q:

Convert -18° to radians

Accepted Solution

A:
Answer:[tex]-18^{0}[/tex] is equal to -0.314 radian.Solution:Measure of complete circle in degree = [tex]360^{\circ}[/tex]Measure of complete circle in radians = [tex]\pi \text { radian }[/tex]So [tex]360^{\circ}[/tex] of circle means [tex]2 \pi \text { radian }[/tex] of a circle.So [tex]1^{0}[/tex] of circle means [tex]\frac{2 \pi}{360}[/tex] radian of circle. [tex]1^{0}=\frac{2 \pi}{360} radian[/tex][tex]1^{0}=\frac{\pi}{180}[/tex]On multiplying both side by [tex]-18^{\circ}[/tex], we get[tex]-18 \times1^{0}=-18 \times \frac{\pi}{180}[/tex][tex]-18^{0}=-\frac{\pi}{10}[/tex]Substituting [tex]\pi=3.14[/tex]we get[tex]-18^{0}=-\frac{3.14}{10}=-0.314 \text { radian }[/tex]Hence [tex]-18^{0}[/tex] is equal to [tex]\bold{-0.314 \text { radian }}[/tex]