Answer:
7.4 meters
Step-by-step explanation:
Solve for the radius:
[tex]A=\pi r^2[/tex]
[tex]42.71=\pi r^2[/tex]
[tex]\frac{42.71}{\pi}=r^2[/tex]
[tex]\sqrt{\frac{42.71}{\pi}}=r[/tex]
Solve for the diameter:
[tex]d=2r[/tex]
[tex]d=2\sqrt{\frac{42.71}{\pi}}[/tex]
[tex]d\approx7.4[/tex]
Therefore, the diameter of the circle is about 7.4 meters
