Verified Answer :

the radius is ( by the way I am not sure ) 181.458......

The area for a sphere is A=4pir^2, so I thinkĀ for a lampshade should be a semisphere, i mean a half of sphere, the area would be A=(4pir^2)/2
For your problem, solve for r and you will get r=root(57.76pi/(2pi))
r= 5.37