Answer:
6.77 cm
Explanation:
Given that the area of a circle = 36 cm²
We want to find the diameter of the circle.
The area of a circle of radius r is calculated using the formula:
[tex]A=\pi r^2[/tex]Substitute A=36 and π=3.14:
[tex]\begin{gathered} 36=3.14r^2 \\ \text{ Divide both sides by 3.14} \\ \frac{36}{3.14}=\frac{3.14r^2}{3.14} \\ r^2=\frac{36}{3.14} \\ \text{ Take the square root of both sides} \\ r=\sqrt{\frac{36}{3.14}} \\ r=3.3845 \end{gathered}[/tex]Finally, to get the diameter, multiply the radius by 2.
[tex]\begin{gathered} Diameter=Radius\times2 \\ =3.3845\times2 \\ =6.769 \\ Diameter\approx6.77\;cm \end{gathered}[/tex]The diameter of the circle is approximately 6.77 cm.
