What is the radius of a circle if using pi=22/7 gives an error of 1 m^2 in its area

Do you mean:
(22/7)*r^2 - pi^r^2 = 1
r^2((22/7) - pi) = 1
r^2 = 1 / ((22/7) - pi)
r = sqrt(1 / ((22/7) - pi))
r =~ 28.12

Area is (pi)r^2 but pi=3.1415923 to 8 sig fig whereas 22/7=3.1427571 to
8 sig fig so error is (3.1427571-3.1415923)r^2=0.0011648r^2=1
so r^2=?? and r= ?? (I make about 29.3 m).