Answer:
7.3 cm
Explanation:
The area, A of a circle of radius r is defined below:
[tex]A=\pi r^2[/tex]Given that: A=42, π=3.14, then:
[tex]\begin{gathered} 42=3.14\times r^2 \\ r^2=\frac{42}{3.14} \\ r^2=13.38 \\ r=\sqrt[]{13.38} \end{gathered}[/tex]Next, determine the diameter.
[tex]\begin{gathered} \text{Diameter}=\text{Radius}\times2 \\ =2\times\sqrt[]{13.38} \\ =7.3\operatorname{cm} \end{gathered}[/tex]The diameter of the circle is 7.3cm (to the nearest tenth of a centimeter.).