The problem is: The net of a cone is a sector with the angle 160 degrees, and the height (not slant height) of the cone is 2. Find the surface area.
I have already tried setting up the equations
$2^2 + r^2 = s^2$
$SA = \pi r^2 + (160/360)(\pi s^2)$
where r = radius of the circle and s = slant height or the radius of the sector of the cone, and SA = surface area
but I can't seem to advance from there. How can I solve this?
For reference, here is what the net of a cone look like: