Question

Match the angle measurements in radians with equilateral measurements less than or equal to 360°

Answer 1

The first thing we have to know is that pi= 180º

`\begin{gathered} (23\pi)/(4)=(23(180º))/(4)=1035 \\ \end{gathered}`

From this value of 1035 we must subtract 360 for each turn of the circumference until it gives us a value less than 360

`\begin{gathered} 1035-360=675 \\ 675-360=315º \end{gathered}`

So the first answer would be

`(23\pi)/(4)\to315º`

Using the same methodology the following angles would give

`\begin{gathered} (18\pi)/(5)_{}\to288º \\ (22\pi)/(9)\to80º \\ (19\pi)/(3)_{}\to60º \end{gathered}`