Question

A circle has area 36 cm². What is the diameter?

Answer 1

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:

`A=\pi r^2`

Substitute A=36 and π=3.14:

`\begin{gathered} 36=3.14r^2 \\ \text{ Divide both sides by 3.14} \\ (36)/(3.14)=(3.14r^2)/(3.14) \\ r^2=(36)/(3.14) \\ \text{ Take the square root of both sides} \\ r=\sqrt{(36)/(3.14)} \\ r=3.3845 \end{gathered}`

Finally, to get the diameter, multiply the radius by 2.

`\begin{gathered} Diameter=Radius*2 \\ =3.3845*2 \\ =6.769 \\ Diameter\approx6.77\;cm \end{gathered}`

The diameter of the circle is approximately 6.77 cm.