##pi## is 180 degrees.
So 4 times ##pi## would be 4*180= 720 degrees.
There are ##2pi## radians in a circle.
And we know that the entire circle is 360 degrees.
That would mean ##pi##=180 degrees.
And you can use this as a conversion factor too.
##4pi* (180)/pi##
##pi## to ##pi## cancels out. You’re left with 4 times 180 degrees.
Source: High school student.