Respuesta :

Answer:

To convert the degrees to radians

[tex]144^{\circ}[/tex]

we know that,

Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.

we get that,

[tex]1\text{ radian}=\frac{180^{\circ}}{\pi}\text{ degrees}[/tex]

That is,

[tex]1\text{ degree}=\frac{\pi^{}}{180^{\circ}}\text{ radians}[/tex]

we get that,

[tex]144^{\circ}=144^{\circ}\times\frac{\pi}{180^{\circ}}\text{ radians}[/tex][tex]=\frac{4}{5}\pi\text{ radians}[/tex][tex]=0.8\pi\text{ radians}[/tex]

Answer is: 0.8