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]
