r=radius

235.619=(15.64)(r)^2+(4.16)(r)^2
How would I solve this problem?

notice you can take out r^2 as a common factor

r^2(15.64 + 4.16) = 235.619
19.8 r^2 = 235.619
r^2 = 11.899945...
r = appr 3.45 to the nearest hundredth