Verified Answer :

\(The\ area\ of\ the\ circle:A_O=\pi r^2\\\\A_O=28.26\ cm^2;\ \pi\approx4.14\\\\subtitute\\\\3.14r^2=28.26\ \ \ |divide\ both\ sides\ by\ 3.14\\\\r^2=9\\\\r=\sqrt9\\\\r=3\ (cm)\\\\d-a\ diameter\\\\d=2r\\\\\boxed{d=2\cdot3cm=6cm}\)

Area of circle= pir^2

 28.26=pi
r^2

28.26/3.14=r^2

sqrt9=r

3=r
r=3

d=2r

2(3)

=6