Question

Someone please help. Convert 11pi/5 to degrees

Answer 1

To solve the exercise you can use the rule of three, like this

`\begin{gathered} 180\text{ degrees}\rightarrow\pi\text{ radians} \\ x\text{ degrees}\rightarrow(11\pi)/(5) \end{gathered}`
`\begin{gathered} x=\frac{(11\pi)/(5)radians\cdot180}{\pi\text{ radians}} \\ x=\frac{(1980\pi)/(5)radians}{\pi\text{ radians}} \\ x=\frac{396\pi\text{ radians}}{\pi\text{ radians}} \\ x=396\text{ degrees} \end{gathered}`

Therefore,

`(11\pi)/(5)\text{ radians }=396\text{ degrees}`