Answer :
Given:
Area of a circle = 254.34 mm^2
Let's find the diameter.
First Step: Use the formula for area of a circle to find the radius of the circle.
[tex]\text{Area = }\pi r^2[/tex]where
Area = 254.34
r = radius
π = 3.14
Let's find the radius:
Rewrite the formula for r
[tex]\begin{gathered} A\text{ = }\pi r^2 \\ \\ r=\sqrt[]{\frac{A}{\pi}} \end{gathered}[/tex][tex]\begin{gathered} r\text{ = }\sqrt[]{\frac{254.34}{3.14}} \\ \\ \text{ =}\sqrt[]{81}=\text{ 9} \end{gathered}[/tex]Radius of the circle = 9 mm
We know that diameter = radius x 2
Therefore
diameter of the circle = 9 x 2 = 18 mm
ANSWER:
diameter = 18 mm